126046400 has 42 divisors (see below), whose sum is σ = 310156860. Its totient is φ = 50417920.

The previous prime is 126046391. The next prime is 126046411. The reversal of 126046400 is 4640621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37790 + ... + 40989.

Almost surely, 2^126046400 is an apocalyptic number.

126046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126046400 is an abundant number, since it is smaller than the sum of its proper divisors (184110460).

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

126046400 is an equidigital number, since it uses as much as digits as its factorization.

126046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78801 (or 78786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 126046400 is about 11227.0387903489. The cubic root of 126046400 is about 501.3913248393.

The spelling of 126046400 in words is "one hundred twenty-six million, forty-six thousand, four hundred".