378978480 has 80 divisors (see below), whose sum is σ = 1305377760. Its totient is φ = 101060352.

The previous prime is 378978473. The next prime is 378978491. The reversal of 378978480 is 84879873.

378978480 is a `hidden beast` number, since 3 + 78 + 97 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×378978480² = 287249376606220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85567 + ... + 89886.

It is an arithmetic number, because the mean of its divisors is an integer number (16317222).

Almost surely, 2^378978480 is an apocalyptic number.

378978480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378978480 is an abundant number, since it is smaller than the sum of its proper divisors (926399280).

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

378978480 is a wasteful number, since it uses less digits than its factorization.

378978480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175475 (or 175463 counting only the distinct ones).

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

The square root of 378978480 is about 19467.3696220111. The cubic root of 378978480 is about 723.6660242443. Note that the first 3 decimals are identical.

The spelling of 378978480 in words is "three hundred seventy-eight million, nine hundred seventy-eight thousand, four hundred eighty".