45993376 has 144 divisors (see below), whose sum is σ = 117059040. Its totient is φ = 17487360.

The previous prime is 45993341. The next prime is 45993383. The reversal of 45993376 is 67339954.

45993376 = T₃₂₅ + T₃₂₆ + ... + T₆₇₆.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999701 + ... + 1999723.

It is an arithmetic number, because the mean of its divisors is an integer number (812910).

Almost surely, 2^45993376 is an apocalyptic number.

45993376 is a gapful number since it is divisible by the number (46) 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 45993376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58529520).

45993376 is an abundant number, since it is smaller than the sum of its proper divisors (71065664).

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

45993376 is a wasteful number, since it uses less digits than its factorization.

45993376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its digits is 612360, while the sum is 46.

The square root of 45993376 is about 6781.8416377854. The cubic root of 45993376 is about 358.2875876462.

The spelling of 45993376 in words is "forty-five million, nine hundred ninety-three thousand, three hundred seventy-six".