74461464 has 256 divisors, whose sum is σ = 267033600. Its totient is φ = 18817920.

The previous prime is 74461451. The next prime is 74461477. The reversal of 74461464 is 46416447.

It is an interprime number because it is at equal distance from previous prime (74461451) and next prime (74461477).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2012454 + ... + 2012490.

It is an arithmetic number, because the mean of its divisors is an integer number (1043100).

Almost surely, 2^74461464 is an apocalyptic number.

74461464 is a gapful number since it is divisible by the number (74) 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 74461464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133516800).

74461464 is an abundant number, since it is smaller than the sum of its proper divisors (192572136).

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

74461464 is a wasteful number, since it uses less digits than its factorization.

74461464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 74461464 is about 8629.1056315240. The cubic root of 74461464 is about 420.7045318033.

The spelling of 74461464 in words is "seventy-four million, four hundred sixty-one thousand, four hundred sixty-four".