397428766800 has 480 divisors, whose sum is σ = 1476828143616. Its totient is φ = 90554112000.

The previous prime is 397428766793. The next prime is 397428766817. The reversal of 397428766800 is 8667824793.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11104935 + ... + 11140665.

Almost surely, 2^397428766800 is an apocalyptic number.

397428766800 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 397428766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738414071808).

397428766800 is an abundant number, since it is smaller than the sum of its proper divisors (1079399376816).

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

397428766800 is a wasteful number, since it uses less digits than its factorization.

397428766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35819 (or 35808 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 397428766800 in words is "three hundred ninety-seven billion, four hundred twenty-eight million, seven hundred sixty-six thousand, eight hundred".