30492774400 has 468 divisors, whose sum is σ = 87535709856. Its totient is φ = 10507059200.

The previous prime is 30492774337. The next prime is 30492774437. The reversal of 30492774400 is 447729403.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284979147 + ... + 284979253.

Almost surely, 2^30492774400 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 30492774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43767854928).

30492774400 is an abundant number, since it is smaller than the sum of its proper divisors (57042935456).

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

30492774400 is a wasteful number, since it uses less digits than its factorization.

30492774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 30492774400 in words is "thirty billion, four hundred ninety-two million, seven hundred seventy-four thousand, four hundred".