502094400 has 168 divisors, whose sum is σ = 1704563520. Its totient is φ = 129239040.

The previous prime is 502094381. The next prime is 502094401. The reversal of 502094400 is 4490205.

It is a super-2 number, since 2×502094400² = 504197573022720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (502094401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137397 + ... + 141003.

Almost surely, 2^502094400 is an apocalyptic number.

502094400 is a gapful number since it is divisible by the number (50) 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 502094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852281760).

502094400 is an abundant number, since it is smaller than the sum of its proper divisors (1202469120).

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

502094400 is a wasteful number, since it uses less digits than its factorization.

502094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 502094400 is about 22407.4630424776. The cubic root of 502094400 is about 794.8071997954.

The spelling of 502094400 in words is "five hundred two million, ninety-four thousand, four hundred".