45999360 has 288 divisors, whose sum is σ = 179544960. Its totient is φ = 11151360.

The previous prime is 45999353. The next prime is 45999377. The reversal of 45999360 is 6399954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45999360² = 4231882240819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4181755 + ... + 4181765.

It is an arithmetic number, because the mean of its divisors is an integer number (623420).

Almost surely, 2^45999360 is an apocalyptic number.

45999360 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 45999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89772480).

45999360 is an abundant number, since it is smaller than the sum of its proper divisors (133545600).

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

45999360 is an equidigital number, since it uses as much as digits as its factorization.

45999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 45999360 is about 6782.2828015352. The cubic root of 45999360 is about 358.3031253905.

The spelling of 45999360 in words is "forty-five million, nine hundred ninety-nine thousand, three hundred sixty".