901079424 has 384 divisors, whose sum is σ = 3286072800. Its totient is φ = 241532928.

The previous prime is 901079419. The next prime is 901079471. The reversal of 901079424 is 424970109.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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, 2878692 + ... + 2879004.

Almost surely, 2^901079424 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 901079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643036400).

901079424 is an abundant number, since it is smaller than the sum of its proper divisors (2384993376).

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

901079424 is a wasteful number, since it uses less digits than its factorization.

901079424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 901079424 is about 30017.9850089909. The cubic root of 901079424 is about 965.8752201776.

The spelling of 901079424 in words is "nine hundred one million, seventy-nine thousand, four hundred twenty-four".