396901440 has 168 divisors, whose sum is σ = 1470327768. Its totient is φ = 97689600.

The previous prime is 396901433. The next prime is 396901457. The reversal of 396901440 is 44109693.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 356756544 = 6336^2 + 18888^2 .

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 = 396901395 and 396901404.

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, 32140 + ... + 42740.

It is an arithmetic number, because the mean of its divisors is an integer number (8751951).

Almost surely, 2^396901440 is an apocalyptic number.

396901440 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 396901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735163884).

396901440 is an abundant number, since it is smaller than the sum of its proper divisors (1073426328).

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

396901440 is a wasteful number, since it uses less digits than its factorization.

396901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396901440 is about 19922.3853993441. The cubic root of 396901440 is about 734.8988337784.

It can be divided in two parts, 39690 and 1440, that multiplied together give a square (57153600 = 7560²).

The spelling of 396901440 in words is "three hundred ninety-six million, nine hundred one thousand, four hundred forty".