904824490752 has 576 divisors, whose sum is σ = 3339748177920. Its totient is φ = 235262361600.

The previous prime is 904824490747. The next prime is 904824490763. The reversal of 904824490752 is 257094428409.

It is a happy number.

904824490752 is a `hidden beast` number, since 9 + 0 + 4 + 82 + 4 + 490 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×904824490752² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44648302 + ... + 44668562.

It is an arithmetic number, because the mean of its divisors is an integer number (5798173920).

Almost surely, 2^904824490752 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 904824490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669874088960).

904824490752 is an abundant number, since it is smaller than the sum of its proper divisors (2434923687168).

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

904824490752 is a wasteful number, since it uses less digits than its factorization.

904824490752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 904824490752 in words is "nine hundred four billion, eight hundred twenty-four million, four hundred ninety thousand, seven hundred fifty-two".