492474240 has 192 divisors, whose sum is σ = 1713245040. Its totient is φ = 130351104.

The previous prime is 492474223. The next prime is 492474253. The reversal of 492474240 is 42474294.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 492474195 and 492474204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111459 + ... + 1111901.

Almost surely, 2^492474240 is an apocalyptic number.

492474240 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 492474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856622520).

492474240 is an abundant number, since it is smaller than the sum of its proper divisors (1220770800).

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

492474240 is a wasteful number, since it uses less digits than its factorization.

492474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 492474240 is about 22191.7606331719. The cubic root of 492474240 is about 789.6982450594.

The spelling of 492474240 in words is "four hundred ninety-two million, four hundred seventy-four thousand, two hundred forty".