497952624 has 80 divisors (see below), whose sum is σ = 1399222944. Its totient is φ = 151680000.

The previous prime is 497952619. The next prime is 497952629. The reversal of 497952624 is 426259794.

It is an interprime number because it is at equal distance from previous prime (497952619) and next prime (497952629).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497952629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59074 + ... + 66974.

Almost surely, 2^497952624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497952624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699611472).

497952624 is an abundant number, since it is smaller than the sum of its proper divisors (901270320).

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

497952624 is a wasteful number, since it uses less digits than its factorization.

497952624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026 (or 8020 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 497952624 is about 22314.8520945132. The cubic root of 497952624 is about 792.6157083422.

It can be divided in two parts, 4979526 and 24, that multiplied together give a square (119508624 = 10932²).

The spelling of 497952624 in words is "four hundred ninety-seven million, nine hundred fifty-two thousand, six hundred twenty-four".