396653400 has 576 divisors, whose sum is σ = 1657393920. Its totient is φ = 83635200.

The previous prime is 396653399. The next prime is 396653437. The reversal of 396653400 is 4356693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5920167 + ... + 5920233.

It is an arithmetic number, because the mean of its divisors is an integer number (2877420).

Almost surely, 2^396653400 is an apocalyptic number.

396653400 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 396653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

396653400 is an abundant number, since it is smaller than the sum of its proper divisors (1260740520).

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

396653400 is a wasteful number, since it uses less digits than its factorization.

396653400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 396653400 is about 19916.1592682927. The cubic root of 396653400 is about 734.7457123953.

It can be divided in two parts, 396 and 653400, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 396653400 in words is "three hundred ninety-six million, six hundred fifty-three thousand, four hundred".