901454400 has 672 divisors, whose sum is σ = 4112117760. Its totient is φ = 186624000.

The previous prime is 901454377. The next prime is 901454423. The reversal of 901454400 is 4454109.

It is an interprime number because it is at equal distance from previous prime (901454377) and next prime (901454423).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3326265 + ... + 3326535.

Almost surely, 2^901454400 is an apocalyptic number.

901454400 is a gapful number since it is divisible by the number (90) 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 901454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056058880).

901454400 is an abundant number, since it is smaller than the sum of its proper divisors (3210663360).

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

901454400 is a wasteful number, since it uses less digits than its factorization.

901454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 901454400 is about 30024.2302149447. The cubic root of 901454400 is about 966.0091816573.

The spelling of 901454400 in words is "nine hundred one million, four hundred fifty-four thousand, four hundred".