397837440 has 1024 divisors, whose sum is σ = 1974067200. Its totient is φ = 72990720.

The previous prime is 397837439. The next prime is 397837441. The reversal of 397837440 is 44738793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (397837439) and next prime (397837441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (397837441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17297269 + ... + 17297291.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^397837440 is an apocalyptic number.

397837440 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 397837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

397837440 is an abundant number, since it is smaller than the sum of its proper divisors (1576229760).

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

397837440 is a wasteful number, since it uses less digits than its factorization.

397837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 397837440 is about 19945.8627288969. The cubic root of 397837440 is about 735.4760764074.

The spelling of 397837440 in words is "three hundred ninety-seven million, eight hundred thirty-seven thousand, four hundred forty".