901048320 has 192 divisors, whose sum is σ = 3203928000. Its totient is φ = 240205824.

The previous prime is 901048303. The next prime is 901048409. The reversal of 901048320 is 23840109.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274851 + ... + 278109.

It is an arithmetic number, because the mean of its divisors is an integer number (16687125).

Almost surely, 2^901048320 is an apocalyptic number.

901048320 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 901048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601964000).

901048320 is an abundant number, since it is smaller than the sum of its proper divisors (2302879680).

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

901048320 is a wasteful number, since it uses less digits than its factorization.

901048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 901048320 is about 30017.4669151146. The cubic root of 901048320 is about 965.8641064963.

Adding to 901048320 its reverse (23840109), we get a palindrome (924888429).

The spelling of 901048320 in words is "nine hundred one million, forty-eight thousand, three hundred twenty".