1629402480 has 320 divisors, whose sum is σ = 5807961600. Its totient is φ = 424942848.

The previous prime is 1629402461. The next prime is 1629402487. The reversal of 1629402480 is 842049261.

1629402480 is a `hidden beast` number, since 1 + 629 + 4 + 0 + 24 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629402487) 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, 11722251 + ... + 11722389.

It is an arithmetic number, because the mean of its divisors is an integer number (18149880).

Almost surely, 2^1629402480 is an apocalyptic number.

1629402480 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 1629402480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903980800).

1629402480 is an abundant number, since it is smaller than the sum of its proper divisors (4178559120).

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

1629402480 is an equidigital number, since it uses as much as digits as its factorization.

1629402480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1629402480 is about 40365.8578504161. The cubic root of 1629402480 is about 1176.7280997207.

The spelling of 1629402480 in words is "one billion, six hundred twenty-nine million, four hundred two thousand, four hundred eighty".