490913195400 has 768 divisors, whose sum is σ = 1849836960000. Its totient is φ = 119230341120.

The previous prime is 490913195317. The next prime is 490913195401. The reversal of 490913195400 is 4591319094.

490913195400 is a `hidden beast` number, since 4 + 9 + 0 + 91 + 3 + 19 + 540 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (490913195401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 337861074 + ... + 337862526.

It is an arithmetic number, because the mean of its divisors is an integer number (2408641875).

Almost surely, 2^490913195400 is an apocalyptic number.

490913195400 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 490913195400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924918480000).

490913195400 is an abundant number, since it is smaller than the sum of its proper divisors (1358923764600).

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

490913195400 is a wasteful number, since it uses less digits than its factorization.

490913195400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 490913195400 in words is "four hundred ninety billion, nine hundred thirteen million, one hundred ninety-five thousand, four hundred".