378657400 has 72 divisors (see below), whose sum is σ = 967750560. Its totient is φ = 137684800.

The previous prime is 378657347. The next prime is 378657407. The reversal of 378657400 is 4756873.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378657407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16377 + ... + 32023.

It is an arithmetic number, because the mean of its divisors is an integer number (13440980).

Almost surely, 2^378657400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378657400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483875280).

378657400 is an abundant number, since it is smaller than the sum of its proper divisors (589093160).

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

378657400 is a wasteful number, since it uses less digits than its factorization.

378657400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15685 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 378657400 is about 19459.1212545685. The cubic root of 378657400 is about 723.4615972129.

The spelling of 378657400 in words is "three hundred seventy-eight million, six hundred fifty-seven thousand, four hundred".