45430632 has 80 divisors (see below), whose sum is σ = 137061540. Its totient is φ = 13976064.

The previous prime is 45430597. The next prime is 45430639. The reversal of 45430632 is 23603454.

It can be written as a sum of positive squares in 2 ways, for example, as 45077796 + 352836 = 6714^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45430596 and 45430605.

It is not an unprimeable number, because it can be changed into a prime (45430639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5728 + ... + 11120.

Almost surely, 2^45430632 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 45430632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68530770).

45430632 is an abundant number, since it is smaller than the sum of its proper divisors (91630908).

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

45430632 is a wasteful number, since it uses less digits than its factorization.

45430632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45430632 is about 6740.2249220631. The cubic root of 45430632 is about 356.8203318798.

The spelling of 45430632 in words is "forty-five million, four hundred thirty thousand, six hundred thirty-two".