74455920 has 480 divisors, whose sum is σ = 334264320. Its totient is φ = 14376960.

The previous prime is 74455907. The next prime is 74455949. The reversal of 74455920 is 2955447.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 942441 + ... + 942519.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^74455920 is an apocalyptic number.

74455920 is a gapful number since it is divisible by the number (70) 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 74455920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

74455920 is an abundant number, since it is smaller than the sum of its proper divisors (259808400).

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

74455920 is a wasteful number, since it uses less digits than its factorization.

74455920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 74455920 is about 8628.7843871544. The cubic root of 74455920 is about 420.6940904122.

The spelling of 74455920 in words is "seventy-four million, four hundred fifty-five thousand, nine hundred twenty".