1004972400 has 120 divisors (see below), whose sum is σ = 3576995760. Its totient is φ = 267989760.

The previous prime is 1004972399. The next prime is 1004972407. The reversal of 1004972400 is 42794001.

It is a happy number.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004972407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35727 + ... + 57326.

It is an arithmetic number, because the mean of its divisors is an integer number (29808298).

Almost surely, 2^1004972400 is an apocalyptic number.

1004972400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004972400 is an abundant number, since it is smaller than the sum of its proper divisors (2572023360).

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

1004972400 is a wasteful number, since it uses less digits than its factorization.

1004972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93080 (or 93063 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1004972400 is about 31701.2996579005. The cubic root of 1004972400 is about 1001.6547270348.

The spelling of 1004972400 in words is "one billion, four million, nine hundred seventy-two thousand, four hundred".