1042496400 has 120 divisors (see below), whose sum is σ = 3643097184. Its totient is φ = 252723200.

The previous prime is 1042496387. The next prime is 1042496453. The reversal of 1042496400 is 46942401.

1042496400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26289 + ... + 52688.

Almost surely, 2^1042496400 is an apocalyptic number.

1042496400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042496400 is an abundant number, since it is smaller than the sum of its proper divisors (2600600784).

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

1042496400 is a wasteful number, since it uses less digits than its factorization.

1042496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79009 (or 78998 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1042496400 is about 32287.7128332126. The cubic root of 1042496400 is about 1013.9694134692.

The spelling of 1042496400 in words is "one billion, forty-two million, four hundred ninety-six thousand, four hundred".