397751040 has 288 divisors, whose sum is σ = 1496698560. Its totient is φ = 99680256.

The previous prime is 397751027. The next prime is 397751059. The reversal of 397751040 is 40157793.

It is a happy number.

397751040 is a `hidden beast` number, since 39 + 77 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 397750986 and 397751004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587182 + ... + 587858.

It is an arithmetic number, because the mean of its divisors is an integer number (5196870).

Almost surely, 2^397751040 is an apocalyptic number.

397751040 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 397751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748349280).

397751040 is an abundant number, since it is smaller than the sum of its proper divisors (1098947520).

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

397751040 is a wasteful number, since it uses less digits than its factorization.

397751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 397751040 is about 19943.6967485970. The cubic root of 397751040 is about 735.4228304270.

The spelling of 397751040 in words is "three hundred ninety-seven million, seven hundred fifty-one thousand, forty".