1032400404 has 90 divisors (see below), whose sum is σ = 3139583370. Its totient is φ = 294967008.

The previous prime is 1032400403. The next prime is 1032400427. The reversal of 1032400404 is 4040042301.

It can be written as a sum of positive squares in only one way, i.e., 1032336900 + 63504 = 32130^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032400403) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16639 + ... + 48390.

Almost surely, 2^1032400404 is an apocalyptic number.

1032400404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1032400404 is an abundant number, since it is smaller than the sum of its proper divisors (2107182966).

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

1032400404 is a wasteful number, since it uses less digits than its factorization.

1032400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65059 (or 65041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1032400404 is about 32130.9882200968. The cubic root of 1032400404 is about 1010.6855470556.

Adding to 1032400404 its reverse (4040042301), we get a palindrome (5072442705).

The spelling of 1032400404 in words is "one billion, thirty-two million, four hundred thousand, four hundred four".