30490574400 has 1512 divisors, whose sum is σ = 137569614624. Its totient is φ = 6325862400.

The previous prime is 30490574371. The next prime is 30490574419. The reversal of 30490574400 is 447509403.

30490574400 is a `hidden beast` number, since 3 + 0 + 49 + 0 + 574 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 455083167 + ... + 455083233.

Almost surely, 2^30490574400 is an apocalyptic number.

30490574400 is a gapful number since it is divisible by the number (30) 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 30490574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68784807312).

30490574400 is an abundant number, since it is smaller than the sum of its proper divisors (107079040224).

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

30490574400 is a wasteful number, since it uses less digits than its factorization.

30490574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30490574400 in words is "thirty billion, four hundred ninety million, five hundred seventy-four thousand, four hundred".