45451560 has 128 divisors (see below), whose sum is σ = 170035200. Its totient is φ = 9442560.

The previous prime is 45451541. The next prime is 45451579. The reversal of 45451560 is 6515454.

It is an interprime number because it is at equal distance from previous prime (45451541) and next prime (45451579).

It is a super-3 number, since 3×45451560³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6781 + ... + 11699.

It is an arithmetic number, because the mean of its divisors is an integer number (1328400).

Almost surely, 2^45451560 is an apocalyptic number.

45451560 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 45451560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85017600).

45451560 is an abundant number, since it is smaller than the sum of its proper divisors (124583640).

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

45451560 is a wasteful number, since it uses less digits than its factorization.

45451560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 45451560 is about 6741.7772137620. Note that the first 3 decimals coincide. The cubic root of 45451560 is about 356.8751142238.

It can be divided in two parts, 4545 and 1560, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 45451560 in words is "forty-five million, four hundred fifty-one thousand, five hundred sixty".