45461376 has 192 divisors, whose sum is σ = 144268800. Its totient is φ = 13685760.

The previous prime is 45461359. The next prime is 45461387. The reversal of 45461376 is 67316454.

It is a happy number.

45461376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45461376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678495 + ... + 678561.

It is an arithmetic number, because the mean of its divisors is an integer number (751400).

Almost surely, 2^45461376 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 45461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72134400).

45461376 is an abundant number, since it is smaller than the sum of its proper divisors (98807424).

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

45461376 is a wasteful number, since it uses less digits than its factorization.

45461376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45461376 is about 6742.5051724118. The cubic root of 45461376 is about 356.9008033602.

The spelling of 45461376 in words is "forty-five million, four hundred sixty-one thousand, three hundred seventy-six".