490162400 has 144 divisors (see below), whose sum is σ = 1472968224. Its totient is φ = 155105280.

The previous prime is 490162397. The next prime is 490162417. The reversal of 490162400 is 4261094.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 490162400.

It is a congruent number.

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, 69434 + ... + 76166.

It is an arithmetic number, because the mean of its divisors is an integer number (10228946).

Almost surely, 2^490162400 is an apocalyptic number.

490162400 is a gapful number since it is divisible by the number (40) 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 490162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736484112).

490162400 is an abundant number, since it is smaller than the sum of its proper divisors (982805824).

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

490162400 is a wasteful number, since it uses less digits than its factorization.

490162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 490162400 is about 22139.6115593747. The cubic root of 490162400 is about 788.4606031930.

The spelling of 490162400 in words is "four hundred ninety million, one hundred sixty-two thousand, four hundred".