901456416 has 288 divisors, whose sum is σ = 3212576640. Its totient is φ = 233791488.

The previous prime is 901456393. The next prime is 901456417. The reversal of 901456416 is 614654109.

901456416 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (901456417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993435 + ... + 994341.

It is an arithmetic number, because the mean of its divisors is an integer number (11154780).

Almost surely, 2^901456416 is an apocalyptic number.

901456416 is a gapful number since it is divisible by the number (96) 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 901456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606288320).

901456416 is an abundant number, since it is smaller than the sum of its proper divisors (2311120224).

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

901456416 is a wasteful number, since it uses less digits than its factorization.

901456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 901456416 is about 30024.2637878100. The cubic root of 901456416 is about 966.0099017799.

The spelling of 901456416 in words is "nine hundred one million, four hundred fifty-six thousand, four hundred sixteen".