397764000 has 384 divisors, whose sum is σ = 1509580800. Its totient is φ = 101606400.

The previous prime is 397763987. The next prime is 397764013. The reversal of 397764000 is 467793.

397764000 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (397763987) and next prime (397764013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3131937 + ... + 3132063.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^397764000 is an apocalyptic number.

397764000 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 397764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

397764000 is an abundant number, since it is smaller than the sum of its proper divisors (1111816800).

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

397764000 is a wasteful number, since it uses less digits than its factorization.

397764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 397764000 is about 19944.0216606381. The cubic root of 397764000 is about 735.4308178156.

The spelling of 397764000 in words is "three hundred ninety-seven million, seven hundred sixty-four thousand".