900729984 has 256 divisors, whose sum is σ = 3059804160. Its totient is φ = 227942400.

The previous prime is 900729971. The next prime is 900729997. The reversal of 900729984 is 489927009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (900729971) and next prime (900729997).

It is a super-2 number, since 2×900729984² = 1622629008153280512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211917 + ... + 1212659.

It is an arithmetic number, because the mean of its divisors is an integer number (11952360).

Almost surely, 2^900729984 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 900729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529902080).

900729984 is an abundant number, since it is smaller than the sum of its proper divisors (2159074176).

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

900729984 is a wasteful number, since it uses less digits than its factorization.

900729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 900729984 is about 30012.1639339785. The cubic root of 900729984 is about 965.7503480642.

The spelling of 900729984 in words is "nine hundred million, seven hundred twenty-nine thousand, nine hundred eighty-four".