506901400 has 48 divisors (see below), whose sum is σ = 1180214640. Its totient is φ = 202473600.

The previous prime is 506901397. The next prime is 506901401. The reversal of 506901400 is 4109605.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506901401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192090 + ... + 194710.

It is an arithmetic number, because the mean of its divisors is an integer number (24587805).

Almost surely, 2^506901400 is an apocalyptic number.

506901400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506901400 is an abundant number, since it is smaller than the sum of its proper divisors (673313240).

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

506901400 is a wasteful number, since it uses less digits than its factorization.

506901400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 506901400 is about 22514.4709020665. The cubic root of 506901400 is about 797.3356153358.

The spelling of 506901400 in words is "five hundred six million, nine hundred one thousand, four hundred".