501402400 has 72 divisors (see below), whose sum is σ = 1288511280. Its totient is φ = 189999360.

The previous prime is 501402397. The next prime is 501402413. The reversal of 501402400 is 4204105.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294 + ... + 31693.

It is an arithmetic number, because the mean of its divisors is an integer number (17895990).

Almost surely, 2^501402400 is an apocalyptic number.

501402400 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 501402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644255640).

501402400 is an abundant number, since it is smaller than the sum of its proper divisors (787108880).

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

501402400 is a wasteful number, since it uses less digits than its factorization.

501402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33026 (or 33013 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 501402400 is about 22392.0164344348. The cubic root of 501402400 is about 794.4418903677.

Adding to 501402400 its reverse (4204105), we get a palindrome (505606505).

The spelling of 501402400 in words is "five hundred one million, four hundred two thousand, four hundred".