490504723493400 has 3456 divisors, whose sum is σ = 2279281266662400. Its totient is φ = 92102427648000.

The previous prime is 490504723493347. The next prime is 490504723493429. The reversal of 490504723493400 is 4394327405094.

490504723493400 is a `hidden beast` number, since 4 + 9 + 0 + 50 + 4 + 72 + 34 + 93 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 307141341402 + ... + 307141342998.

It is an arithmetic number, because the mean of its divisors is an integer number (659514255400).

Almost surely, 2^{490504723493400} is an apocalyptic number.

490504723493400 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 490504723493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139640633331200).

490504723493400 is an abundant number, since it is smaller than the sum of its proper divisors (1788776543169000).

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

490504723493400 is a wasteful number, since it uses less digits than its factorization.

490504723493400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 490504723493400 in words is "four hundred ninety trillion, five hundred four billion, seven hundred twenty-three million, four hundred ninety-three thousand, four hundred".