397878480 has 240 divisors, whose sum is σ = 1406618304. Its totient is φ = 104509440.

The previous prime is 397878479. The next prime is 397878493. The reversal of 397878480 is 84878793.

397878480 is a `hidden beast` number, since 3 + 97 + 8 + 78 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×397878480² = 316614569694220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1885575 + ... + 1885785.

Almost surely, 2^397878480 is an apocalyptic number.

397878480 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 397878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703309152).

397878480 is an abundant number, since it is smaller than the sum of its proper divisors (1008739824).

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

397878480 is a wasteful number, since it uses less digits than its factorization.

397878480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 397878480 is about 19946.8914871466. The cubic root of 397878480 is about 735.5013655476.

The spelling of 397878480 in words is "three hundred ninety-seven million, eight hundred seventy-eight thousand, four hundred eighty".