490001672160 has 1920 divisors, whose sum is σ = 2350192610304. Its totient is φ = 92844195840.

The previous prime is 490001672101. The next prime is 490001672189. The reversal of 490001672160 is 61276100094.

490001672160 is a `hidden beast` number, since 490 + 0 + 0 + 1 + 6 + 7 + 2 + 160 = 666.

It is a super-2 number, since 2×490001672160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1388106544 + ... + 1388106896.

Almost surely, 2^490001672160 is an apocalyptic number.

490001672160 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 490001672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175096305152).

490001672160 is an abundant number, since it is smaller than the sum of its proper divisors (1860190938144).

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

490001672160 is a wasteful number, since it uses less digits than its factorization.

490001672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 490001672160 in words is "four hundred ninety billion, one million, six hundred seventy-two thousand, one hundred sixty".