497901600 has 576 divisors, whose sum is σ = 2137363200. Its totient is φ = 109486080.

The previous prime is 497901587. The next prime is 497901611. The reversal of 497901600 is 6109794.

497901600 is a `hidden beast` number, since 49 + 7 + 9 + 0 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5594356 + ... + 5594444.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^497901600 is an apocalyptic number.

497901600 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 497901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600).

497901600 is an abundant number, since it is smaller than the sum of its proper divisors (1639461600).

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

497901600 is a wasteful number, since it uses less digits than its factorization.

497901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 497901600 is about 22313.7087907860. The cubic root of 497901600 is about 792.5886349465.

It can be divided in two parts, 497901 and 600, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 497901600 in words is "four hundred ninety-seven million, nine hundred one thousand, six hundred".