906454032 has 80 divisors (see below), whose sum is σ = 2608975872. Its totient is φ = 268831360.

The previous prime is 906453997. The next prime is 906454051. The reversal of 906454032 is 230454609.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 906453984 and 906454002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6553 + ... + 43079.

Almost surely, 2^906454032 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 906454032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304487936).

906454032 is an abundant number, since it is smaller than the sum of its proper divisors (1702521840).

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

906454032 is a wasteful number, since it uses less digits than its factorization.

906454032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36596 (or 36590 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 906454032 is about 30107.3750433345. The cubic root of 906454032 is about 967.7917784043.

The spelling of 906454032 in words is "nine hundred six million, four hundred fifty-four thousand, thirty-two".