392970240 has 360 divisors, whose sum is σ = 1502825688. Its totient is φ = 94371840.

The previous prime is 392970211. The next prime is 392970251. The reversal of 392970240 is 42079293.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 383533056 = 3072^2 + 19584^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 392970195 and 392970204.

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, 9584620 + ... + 9584660.

Almost surely, 2^392970240 is an apocalyptic number.

392970240 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 392970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751412844).

392970240 is an abundant number, since it is smaller than the sum of its proper divisors (1109855448).

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

392970240 is a wasteful number, since it uses less digits than its factorization.

392970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 392970240 is about 19823.4769906795. The cubic root of 392970240 is about 732.4644548598.

The spelling of 392970240 in words is "three hundred ninety-two million, nine hundred seventy thousand, two hundred forty".