1032494400 has 252 divisors, whose sum is σ = 4194385312. Its totient is φ = 235975680.

The previous prime is 1032494383. The next prime is 1032494413. The reversal of 1032494400 is 44942301.

1032494400 is a `hidden beast` number, since 10 + 3 + 249 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95679 + ... + 105921.

Almost surely, 2^1032494400 is an apocalyptic number.

1032494400 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 1032494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097192656).

1032494400 is an abundant number, since it is smaller than the sum of its proper divisors (3161890912).

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

1032494400 is a wasteful number, since it uses less digits than its factorization.

1032494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10278 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1032494400 is about 32132.4508869149. The cubic root of 1032494400 is about 1010.7162191073.

The spelling of 1032494400 in words is "one billion, thirty-two million, four hundred ninety-four thousand, four hundred".