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1490169408 = 2637131729173
BaseRepresentation
bin101100011010010…
…0010111001000000
310211212000110010120
41120310202321000
511022440410113
6403511300240
751633142140
oct13064427100
93755013116
101490169408
116a5186372
1235707a680
131a995c860
14101ca4920
158ac56a23
hex58d22e40

1490169408 has 448 divisors, whose sum is σ = 5345948160. Its totient is φ = 355074048.

The previous prime is 1490169407. The next prime is 1490169481. The reversal of 1490169408 is 8049610941.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1490169408.

It is not an unprimeable number, because it can be changed into a prime (1490169403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8613610 + ... + 8613782.

It is an arithmetic number, because the mean of its divisors is an integer number (11932920).

Almost surely, 21490169408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1490169408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672974080).

1490169408 is an abundant number, since it is smaller than the sum of its proper divisors (3855778752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1490169408 is a wasteful number, since it uses less digits than its factorization.

1490169408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1490169408 is about 38602.7124435576. The cubic root of 1490169408 is about 1142.2080443118.

The spelling of 1490169408 in words is "one billion, four hundred ninety million, one hundred sixty-nine thousand, four hundred eight".