1012474400 has 72 divisors (see below), whose sum is σ = 2824819200. Its totient is φ = 347132160.

The previous prime is 1012474391. The next prime is 1012474469. The reversal of 1012474400 is 44742101.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 84800 + ... + 95999.

It is an arithmetic number, because the mean of its divisors is an integer number (39233600).

Almost surely, 2^1012474400 is an apocalyptic number.

1012474400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012474400 is an abundant number, since it is smaller than the sum of its proper divisors (1812344800).

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

1012474400 is a wasteful number, since it uses less digits than its factorization.

1012474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180826 (or 180813 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 1012474400 is about 31819.4028856608. The cubic root of 1012474400 is about 1004.1409620971.

The spelling of 1012474400 in words is "one billion, twelve million, four hundred seventy-four thousand, four hundred".