508640400 has 180 divisors, whose sum is σ = 1842167808. Its totient is φ = 129719040.

The previous prime is 508640399. The next prime is 508640401. The reversal of 508640400 is 4046805.

It is an interprime number because it is at equal distance from previous prime (508640399) and next prime (508640401).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (508640401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79729 + ... + 85871.

Almost surely, 2^508640400 is an apocalyptic number.

508640400 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 508640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921083904).

508640400 is an abundant number, since it is smaller than the sum of its proper divisors (1333527408).

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

508640400 is a wasteful number, since it uses less digits than its factorization.

508640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 508640400 is about 22553.0574423957. The cubic root of 508640400 is about 798.2463671067.

The spelling of 508640400 in words is "five hundred eight million, six hundred forty thousand, four hundred".