45829476 has 180 divisors, whose sum is σ = 151402944. Its totient is φ = 11832480.

The previous prime is 45829451. The next prime is 45829477. The reversal of 45829476 is 67492854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45829477) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 274345 + ... + 274511.

Almost surely, 2^45829476 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 45829476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75701472).

45829476 is an abundant number, since it is smaller than the sum of its proper divisors (105573468).

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

45829476 is a wasteful number, since it uses less digits than its factorization.

45829476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45829476 is about 6769.7471149224. The cubic root of 45829476 is about 357.8614883989.

The spelling of 45829476 in words is "forty-five million, eight hundred twenty-nine thousand, four hundred seventy-six".