501350400 has 324 divisors, whose sum is σ = 1901585322. Its totient is φ = 125829120.

The previous prime is 501350393. The next prime is 501350401. The reversal of 501350400 is 4053105.

It can be written as a sum of positive squares in 3 ways, for example, as 429981696 + 71368704 = 20736^2 + 8448^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (501350401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29491192 + ... + 29491208.

Almost surely, 2^501350400 is an apocalyptic number.

501350400 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 501350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950792661).

501350400 is an abundant number, since it is smaller than the sum of its proper divisors (1400234922).

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

501350400 is an equidigital number, since it uses as much as digits as its factorization.

501350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 501350400 is about 22390.8552762060. The cubic root of 501350400 is about 794.4144257960.

The spelling of 501350400 in words is "five hundred one million, three hundred fifty thousand, four hundred".