45919104 has 128 divisors (see below), whose sum is σ = 152167680. Its totient is φ = 11919360.

The previous prime is 45919087. The next prime is 45919177. The reversal of 45919104 is 40191954.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45919104² = 4217128224325632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28792 + ... + 30344.

It is an arithmetic number, because the mean of its divisors is an integer number (1188810).

Almost surely, 2^45919104 is an apocalyptic number.

45919104 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 45919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083840).

45919104 is an abundant number, since it is smaller than the sum of its proper divisors (106248576).

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

45919104 is a wasteful number, since it uses less digits than its factorization.

45919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 45919104 is about 6776.3636266068. The cubic root of 45919104 is about 358.0946245507.

It can be divided in two parts, 4591 and 9104, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 45919104 in words is "forty-five million, nine hundred nineteen thousand, one hundred four".