45349524 has 96 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 13488480.

The previous prime is 45349519. The next prime is 45349529. The reversal of 45349524 is 42594354.

45349524 = T₁ + T₂ + ... + T₆₄₇.

It is a happy number.

45349524 is a nontrivial binomial coefficient, being equal to C(649, 3).

It is an interprime number because it is at equal distance from previous prime (45349519) and next prime (45349529).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45349529) by changing a digit.

It is the 647-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69769 + ... + 70415.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^45349524 is an apocalyptic number.

45349524 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 45349524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

45349524 is an abundant number, since it is smaller than the sum of its proper divisors (85287276).

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

45349524 is a wasteful number, since it uses less digits than its factorization.

45349524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45349524 is about 6734.2055210693. The cubic root of 45349524 is about 356.6078597934.

The spelling of 45349524 in words is "forty-five million, three hundred forty-nine thousand, five hundred twenty-four".