396900 has 135 divisors (see below), whose sum is σ = 1496649. Its totient is φ = 90720.

The previous prime is 396887. The next prime is 396919. The reversal of 396900 is 9693.

396900 = 1³ + 2³ + ... + 35³.

The square root of 396900 is 630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 254016 = 378^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×396900² = 315059220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56697 + ... + 56703.

2³⁹⁶⁹⁰⁰ is an apocalyptic number.

396900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

396900 is the 630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396900

396900 is an abundant number, since it is smaller than the sum of its proper divisors (1099749).

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

396900 is a wasteful number, since it uses less digits than its factorization.

396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The cubic root of 396900 is about 73.4897945014.

It can be divided in two parts, 396 and 900, that added together give a 4-th power (1296 = 6⁴).

The spelling of 396900 in words is "three hundred ninety-six thousand, nine hundred".