508442400 has 144 divisors (see below), whose sum is σ = 1838944800. Its totient is φ = 135578880.

The previous prime is 508442387. The next prime is 508442423. The reversal of 508442400 is 4244805.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9831 + ... + 33369.

It is an arithmetic number, because the mean of its divisors is an integer number (12770450).

Almost surely, 2^508442400 is an apocalyptic number.

508442400 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 508442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919472400).

508442400 is an abundant number, since it is smaller than the sum of its proper divisors (1330502400).

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

508442400 is a wasteful number, since it uses less digits than its factorization.

508442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23568 (or 23549 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 508442400 is about 22548.6673663878. The cubic root of 508442400 is about 798.1427750643.

The spelling of 508442400 in words is "five hundred eight million, four hundred forty-two thousand, four hundred".