45419040 has 72 divisors (see below), whose sum is σ = 154997388. Its totient is φ = 12111360.

The previous prime is 45419029. The next prime is 45419047. The reversal of 45419040 is 4091454.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 7817616 = 6132^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 45418995 and 45419013.

It is not an unprimeable number, because it can be changed into a prime (45419047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14331 + ... + 17210.

Almost surely, 2^45419040 is an apocalyptic number.

45419040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45419040 is an abundant number, since it is smaller than the sum of its proper divisors (109578348).

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

45419040 is a wasteful number, since it uses less digits than its factorization.

45419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31562 (or 31551 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45419040 is about 6739.3649552462. The cubic root of 45419040 is about 356.7899807492.

The spelling of 45419040 in words is "forty-five million, four hundred nineteen thousand, forty".