396011700 has 288 divisors, whose sum is σ = 1519902720. Its totient is φ = 86486400.

The previous prime is 396011689. The next prime is 396011711. The reversal of 396011700 is 7110693.

It is an interprime number because it is at equal distance from previous prime (396011689) and next prime (396011711).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434245 + ... + 435155.

It is an arithmetic number, because the mean of its divisors is an integer number (5277440).

Almost surely, 2^396011700 is an apocalyptic number.

396011700 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 396011700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759951360).

396011700 is an abundant number, since it is smaller than the sum of its proper divisors (1123891020).

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

396011700 is a wasteful number, since it uses less digits than its factorization.

396011700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 396011700 is about 19900.0427135220. The cubic root of 396011700 is about 734.3492782903.

The spelling of 396011700 in words is "three hundred ninety-six million, eleven thousand, seven hundred".