45301248 has 160 divisors (see below), whose sum is σ = 139946400. Its totient is φ = 14450688.

The previous prime is 45301213. The next prime is 45301271. The reversal of 45301248 is 84210354.

45301248 is a `hidden beast` number, since 4 + 530 + 124 + 8 = 666.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 400840 + ... + 400952.

It is an arithmetic number, because the mean of its divisors is an integer number (874665).

Almost surely, 2^45301248 is an apocalyptic number.

45301248 is a gapful number since it is divisible by the number (48) 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 45301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69973200).

45301248 is an abundant number, since it is smaller than the sum of its proper divisors (94645152).

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

45301248 is a wasteful number, since it uses less digits than its factorization.

45301248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

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

The square root of 45301248 is about 6730.6201794485. The cubic root of 45301248 is about 356.4812747565.

It can be divided in two parts, 4530 and 1248, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 45301248 in words is "forty-five million, three hundred one thousand, two hundred forty-eight".