901678400 has 336 divisors, whose sum is σ = 2721254400. Its totient is φ = 293529600.

The previous prime is 901678399. The next prime is 901678403. The reversal of 901678400 is 4876109.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901678403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17012774 + ... + 17012826.

Almost surely, 2^901678400 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 901678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360627200).

901678400 is an abundant number, since it is smaller than the sum of its proper divisors (1819576000).

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

901678400 is a wasteful number, since it uses less digits than its factorization.

901678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 901678400 is about 30027.9603036903. The cubic root of 901678400 is about 966.0891887126.

The spelling of 901678400 in words is "nine hundred one million, six hundred seventy-eight thousand, four hundred".