378309456 has 120 divisors (see below), whose sum is σ = 1273737920. Its totient is φ = 102394368.

The previous prime is 378309443. The next prime is 378309493. The reversal of 378309456 is 654903873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9276 + ... + 29028.

Almost surely, 2^378309456 is an apocalyptic number.

378309456 is a gapful number since it is divisible by the number (36) 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 378309456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636868960).

378309456 is an abundant number, since it is smaller than the sum of its proper divisors (895428464).

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

378309456 is a wasteful number, since it uses less digits than its factorization.

378309456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19793 (or 19784 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 378309456 is about 19450.1788166587. The cubic root of 378309456 is about 723.2399357466.

The spelling of 378309456 in words is "three hundred seventy-eight million, three hundred nine thousand, four hundred fifty-six".