45123480 has 160 divisors (see below), whose sum is σ = 159865200. Its totient is φ = 11384064.

The previous prime is 45123451. The next prime is 45123487. The reversal of 45123480 is 8432154.

It is a super-2 number, since 2×45123480² = 4072256894620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45123487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61194 + ... + 61926.

Almost surely, 2^45123480 is an apocalyptic number.

45123480 is a gapful number since it is divisible by the number (40) 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 45123480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79932600).

45123480 is an abundant number, since it is smaller than the sum of its proper divisors (114741720).

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

45123480 is a wasteful number, since it uses less digits than its factorization.

45123480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45123480 is about 6717.4012832345. The cubic root of 45123480 is about 356.0143705010.

The spelling of 45123480 in words is "forty-five million, one hundred twenty-three thousand, four hundred eighty".