397005158400 has 288 divisors, whose sum is σ = 1318194848880. Its totient is φ = 105404170240.

The previous prime is 397005158323. The next prime is 397005158411. The reversal of 397005158400 is 4851500793.

It is a super-2 number, since 2×397005158400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35783254 + ... + 35794346.

Almost surely, 2^397005158400 is an apocalyptic number.

397005158400 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 397005158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659097424440).

397005158400 is an abundant number, since it is smaller than the sum of its proper divisors (921189690480).

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

397005158400 is a wasteful number, since it uses less digits than its factorization.

397005158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 397005158400 in words is "three hundred ninety-seven billion, five million, one hundred fifty-eight thousand, four hundred".