390762240 has 324 divisors, whose sum is σ = 1420698552. Its totient is φ = 91463680.

The previous prime is 390762173. The next prime is 390762247. The reversal of 390762240 is 42267093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390762247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13474546 + ... + 13474574.

Almost surely, 2^390762240 is an apocalyptic number.

390762240 is a gapful number since it is divisible by the number (30) 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 390762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710349276).

390762240 is an abundant number, since it is smaller than the sum of its proper divisors (1029936312).

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

390762240 is a wasteful number, since it uses less digits than its factorization.

390762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 390762240 is about 19767.7069990427. The cubic root of 390762240 is about 731.0900335308.

The spelling of 390762240 in words is "three hundred ninety million, seven hundred sixty-two thousand, two hundred forty".