905490432 has 468 divisors, whose sum is σ = 3398937360. Its totient is φ = 227082240.

The previous prime is 905490419. The next prime is 905490449. The reversal of 905490432 is 234094509.

905490432 is a `hidden beast` number, since 90 + 54 + 90 + 432 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31223794 + ... + 31223822.

Almost surely, 2^905490432 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 905490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699468680).

905490432 is an abundant number, since it is smaller than the sum of its proper divisors (2493446928).

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

905490432 is a wasteful number, since it uses less digits than its factorization.

905490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 905490432 is about 30091.3680646128. The cubic root of 905490432 is about 967.4487219182.

The spelling of 905490432 in words is "nine hundred five million, four hundred ninety thousand, four hundred thirty-two".