74049360 has 160 divisors (see below), whose sum is σ = 286267392. Its totient is φ = 15383040.

The previous prime is 74049341. The next prime is 74049361. The reversal of 74049360 is 6394047.

74049360 = 1053² + 1054² + ... + 1115².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74049361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16477 + ... + 20483.

Almost surely, 2^74049360 is an apocalyptic number.

74049360 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 74049360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143133696).

74049360 is an abundant number, since it is smaller than the sum of its proper divisors (212218032).

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

74049360 is a wasteful number, since it uses less digits than its factorization.

74049360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 74049360 is about 8605.1937805026. The cubic root of 74049360 is about 419.9269714297.

The spelling of 74049360 in words is "seventy-four million, forty-nine thousand, three hundred sixty".