1032460800 has 480 divisors, whose sum is σ = 4091738112. Its totient is φ = 224378880.

The previous prime is 1032460789. The next prime is 1032460837. The reversal of 1032460800 is 80642301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 6182317 + ... + 6182483.

Almost surely, 2^1032460800 is an apocalyptic number.

1032460800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045869056).

1032460800 is an abundant number, since it is smaller than the sum of its proper divisors (3059277312).

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

1032460800 is a wasteful number, since it uses less digits than its factorization.

1032460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1032460800 is about 32131.9280467264. The cubic root of 1032460800 is about 1010.7052552275.

The spelling of 1032460800 in words is "one billion, thirty-two million, four hundred sixty thousand, eight hundred".