396437760 has 144 divisors (see below), whose sum is σ = 1406926080. Its totient is φ = 105707520.

The previous prime is 396437759. The next prime is 396437777. The reversal of 396437760 is 67734693.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28825 + ... + 40295.

It is an arithmetic number, because the mean of its divisors is an integer number (9770320).

Almost surely, 2^396437760 is an apocalyptic number.

396437760 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 396437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703463040).

396437760 is an abundant number, since it is smaller than the sum of its proper divisors (1010488320).

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

396437760 is a wasteful number, since it uses less digits than its factorization.

396437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 396437760 is about 19910.7448379010. The cubic root of 396437760 is about 734.6125404741.

The spelling of 396437760 in words is "three hundred ninety-six million, four hundred thirty-seven thousand, seven hundred sixty".