45714240 has 448 divisors, whose sum is σ = 194584320. Its totient is φ = 9953280.

The previous prime is 45714239. The next prime is 45714259. The reversal of 45714240 is 4241754.

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 63 ways as a sum of consecutive naturals, for example, 1235502 + ... + 1235538.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 2^45714240 is an apocalyptic number.

45714240 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 45714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

45714240 is an abundant number, since it is smaller than the sum of its proper divisors (148870080).

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

45714240 is a wasteful number, since it uses less digits than its factorization.

45714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45714240 is about 6761.2306572103. The cubic root of 45714240 is about 357.5612948514.

Adding to 45714240 its reverse (4241754), we get a palindrome (49955994).

It can be divided in two parts, 45714 and 240, that added together give a palindrome (45954).

The spelling of 45714240 in words is "forty-five million, seven hundred fourteen thousand, two hundred forty".