397770624 has 192 divisors, whose sum is σ = 1276938000. Its totient is φ = 118112256.

The previous prime is 397770617. The next prime is 397770629. The reversal of 397770624 is 426077793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 397770624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397770629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371562 + ... + 372630.

Almost surely, 2^397770624 is an apocalyptic number.

397770624 is a gapful number since it is divisible by the number (34) 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 397770624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638469000).

397770624 is an abundant number, since it is smaller than the sum of its proper divisors (879167376).

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

397770624 is a wasteful number, since it uses less digits than its factorization.

397770624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 397770624 is about 19944.1877247483. The cubic root of 397770624 is about 735.4349001916.

The spelling of 397770624 in words is "three hundred ninety-seven million, seven hundred seventy thousand, six hundred twenty-four".