901396440 has 384 divisors, whose sum is σ = 3620972160. Its totient is φ = 189775872.

The previous prime is 901396429. The next prime is 901396453. The reversal of 901396440 is 44693109.

901396440 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 9 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 901396395 and 901396404.

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, 2270322 + ... + 2270718.

It is an arithmetic number, because the mean of its divisors is an integer number (9429615).

Almost surely, 2^901396440 is an apocalyptic number.

901396440 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 901396440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810486080).

901396440 is an abundant number, since it is smaller than the sum of its proper divisors (2719575720).

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

901396440 is a wasteful number, since it uses less digits than its factorization.

901396440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 901396440 is about 30023.2649790125. The cubic root of 901396440 is about 965.9884776733.

The spelling of 901396440 in words is "nine hundred one million, three hundred ninety-six thousand, four hundred forty".