906132480 has 352 divisors, whose sum is σ = 3282536448. Its totient is φ = 211353600.

The previous prime is 906132473. The next prime is 906132559. The reversal of 906132480 is 84231609.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

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, 5237674 + ... + 5237846.

Almost surely, 2^906132480 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 906132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641268224).

906132480 is an abundant number, since it is smaller than the sum of its proper divisors (2376403968).

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

906132480 is a wasteful number, since it uses less digits than its factorization.

906132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 906132480 is about 30102.0344827389. The cubic root of 906132480 is about 967.6773279650.

It can be divided in two parts, 906 and 132480, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 906132480 in words is "nine hundred six million, one hundred thirty-two thousand, four hundred eighty".