45479280 has 320 divisors, whose sum is σ = 185131008. Its totient is φ = 8954880.

The previous prime is 45479243. The next prime is 45479281. The reversal of 45479280 is 8297454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45479281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424987 + ... + 425093.

Almost surely, 2^45479280 is an apocalyptic number.

45479280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45479280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92565504).

45479280 is an abundant number, since it is smaller than the sum of its proper divisors (139651728).

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

45479280 is a wasteful number, since it uses less digits than its factorization.

45479280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 45479280 is about 6743.8327381393. The cubic root of 45479280 is about 356.9476498182.

The spelling of 45479280 in words is "forty-five million, four hundred seventy-nine thousand, two hundred eighty".