45907380 has 144 divisors (see below), whose sum is σ = 146646864. Its totient is φ = 11612160.

The previous prime is 45907339. The next prime is 45907399. The reversal of 45907380 is 8370954.

It can be written as a sum of positive squares in 8 ways, for example, as 9474084 + 36433296 = 3078^2 + 6036^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406204 + ... + 406316.

It is an arithmetic number, because the mean of its divisors is an integer number (1018381).

Almost surely, 2^45907380 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 45907380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73323432).

45907380 is an abundant number, since it is smaller than the sum of its proper divisors (100739484).

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

45907380 is a wasteful number, since it uses less digits than its factorization.

45907380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45907380 is about 6775.4985056452. The cubic root of 45907380 is about 358.0641458874.

It can be divided in two parts, 45 and 907380, that multiplied together give a square (40832100 = 6390²).

The spelling of 45907380 in words is "forty-five million, nine hundred seven thousand, three hundred eighty".