392474384640 has 1152 divisors, whose sum is σ = 1648281600000. Its totient is φ = 87501275136.

The previous prime is 392474384633. The next prime is 392474384719. The reversal of 392474384640 is 46483474293.

392474384640 is a `hidden beast` number, since 3 + 92 + 47 + 438 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×392474384640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196334361 + ... + 196336359.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800000).

Almost surely, 2^392474384640 is an apocalyptic number.

392474384640 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 392474384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824140800000).

392474384640 is an abundant number, since it is smaller than the sum of its proper divisors (1255807215360).

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

392474384640 is a wasteful number, since it uses less digits than its factorization.

392474384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 392474384640 in words is "three hundred ninety-two billion, four hundred seventy-four million, three hundred eighty-four thousand, six hundred forty".