1602464400 has 360 divisors, whose sum is σ = 5843126016. Its totient is φ = 406195200.

The previous prime is 1602464399. The next prime is 1602464401. The reversal of 1602464400 is 44642061.

1602464400 is a `hidden beast` number, since 16 + 0 + 2 + 4 + 644 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1602464399) and next prime (1602464401).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1602464401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9262714 + ... + 9262886.

Almost surely, 2^1602464400 is an apocalyptic number.

1602464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1602464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921563008).

1602464400 is an abundant number, since it is smaller than the sum of its proper divisors (4240661616).

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

1602464400 is a wasteful number, since it uses less digits than its factorization.

1602464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1602464400 is about 40030.7931472760. The cubic root of 1602464400 is about 1170.2072830203.

The spelling of 1602464400 in words is "one billion, six hundred two million, four hundred sixty-four thousand, four hundred".