30604505400 has 480 divisors, whose sum is σ = 123176238240. Its totient is φ = 6897623040.

The previous prime is 30604505381. The next prime is 30604505471. The reversal of 30604505400 is 450540603.

30604505400 is a `hidden beast` number, since 3 + 0 + 604 + 5 + 0 + 54 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8276352 + ... + 8280048.

It is an arithmetic number, because the mean of its divisors is an integer number (256617163).

Almost surely, 2^30604505400 is an apocalyptic number.

30604505400 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 30604505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61588119120).

30604505400 is an abundant number, since it is smaller than the sum of its proper divisors (92571732840).

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

30604505400 is a wasteful number, since it uses less digits than its factorization.

30604505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 30604505400 in words is "thirty billion, six hundred four million, five hundred five thousand, four hundred".