490877150400 has 2688 divisors, whose sum is σ = 2362048819200. Its totient is φ = 96347750400.

The previous prime is 490877150303. The next prime is 490877150417. The reversal of 490877150400 is 4051778094.

It is a happy number.

490877150400 is a `hidden beast` number, since 4 + 90 + 8 + 7 + 7 + 150 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5515473556 + ... + 5515473644.

It is an arithmetic number, because the mean of its divisors is an integer number (878738400).

Almost surely, 2^490877150400 is an apocalyptic number.

490877150400 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 490877150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181024409600).

490877150400 is an abundant number, since it is smaller than the sum of its proper divisors (1871171668800).

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

490877150400 is a wasteful number, since it uses less digits than its factorization.

490877150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 490877150400 in words is "four hundred ninety billion, eight hundred seventy-seven million, one hundred fifty thousand, four hundred".