45363240 has 192 divisors, whose sum is σ = 165110400. Its totient is φ = 11135232.

The previous prime is 45363239. The next prime is 45363251. The reversal of 45363240 is 4236354.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126181 + ... + 126539.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^45363240 is an apocalyptic number.

45363240 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 45363240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

45363240 is an abundant number, since it is smaller than the sum of its proper divisors (119747160).

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

45363240 is a wasteful number, since it uses less digits than its factorization.

45363240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45363240 is about 6735.2238270157. The cubic root of 45363240 is about 356.6438082807.

Adding to 45363240 its reverse (4236354), we get a palindrome (49599594).

It can be divided in two parts, 4536 and 3240, that added together give a 5-th power (7776 = 6⁵).

The spelling of 45363240 in words is "forty-five million, three hundred sixty-three thousand, two hundred forty".