396477244800 has 1728 divisors, whose sum is σ = 1819818524160. Its totient is φ = 83458252800.

The previous prime is 396477244789. The next prime is 396477244811. The reversal of 396477244800 is 8442774693.

396477244800 is a `hidden beast` number, since 3 + 96 + 4 + 7 + 72 + 4 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396477244789) and next prime (396477244811).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 919900585 + ... + 919901015.

It is an arithmetic number, because the mean of its divisors is an integer number (1053135720).

Almost surely, 2^396477244800 is an apocalyptic number.

396477244800 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 396477244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909909262080).

396477244800 is an abundant number, since it is smaller than the sum of its proper divisors (1423341279360).

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

396477244800 is a wasteful number, since it uses less digits than its factorization.

396477244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 396477244800 in words is "three hundred ninety-six billion, four hundred seventy-seven million, two hundred forty-four thousand, eight hundred".