45414864 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 13011840.

The previous prime is 45414851. The next prime is 45414869. The reversal of 45414864 is 46841454.

It is a happy number.

45414864 is a `hidden beast` number, since 454 + 148 + 64 = 666.

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 (45414869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90037 + ... + 90539.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^45414864 is an apocalyptic number.

45414864 is a gapful number since it is divisible by the number (44) 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 45414864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

45414864 is an abundant number, since it is smaller than the sum of its proper divisors (104575536).

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

45414864 is a wasteful number, since it uses less digits than its factorization.

45414864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45414864 is about 6739.0551266479. The cubic root of 45414864 is about 356.7790455362.

It can be divided in two parts, 45414 and 864, that multiplied together give a square (39237696 = 6264²).

The spelling of 45414864 in words is "forty-five million, four hundred fourteen thousand, eight hundred sixty-four".