397653580800 has 1584 divisors, whose sum is σ = 1736183520000. Its totient is φ = 88902696960.

The previous prime is 397653580787. The next prime is 397653580813. The reversal of 397653580800 is 8085356793.

It is a happy number.

397653580800 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 53 + 580 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (397653580787) and next prime (397653580813).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1998259101 + ... + 1998259299.

Almost surely, 2^397653580800 is an apocalyptic number.

397653580800 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 397653580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868091760000).

397653580800 is an abundant number, since it is smaller than the sum of its proper divisors (1338529939200).

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

397653580800 is a wasteful number, since it uses less digits than its factorization.

397653580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 397653580800 in words is "three hundred ninety-seven billion, six hundred fifty-three million, five hundred eighty thousand, eight hundred".