45407088 has 80 divisors (see below), whose sum is σ = 131911200. Its totient is φ = 14952960.

The previous prime is 45407081. The next prime is 45407099. The reversal of 45407088 is 88070454.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45407081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37858 + ... + 39038.

It is an arithmetic number, because the mean of its divisors is an integer number (1648890).

Almost surely, 2^45407088 is an apocalyptic number.

45407088 is a gapful number since it is divisible by the number (48) 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 45407088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65955600).

45407088 is an abundant number, since it is smaller than the sum of its proper divisors (86504112).

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

45407088 is a wasteful number, since it uses less digits than its factorization.

45407088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45407088 is about 6738.4781664705. The cubic root of 45407088 is about 356.7586816291.

It can be divided in two parts, 4540 and 7088, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 45407088 in words is "forty-five million, four hundred seven thousand, eighty-eight".