74257820 has 48 divisors (see below), whose sum is σ = 191932608. Its totient is φ = 23500800.

The previous prime is 74257817. The next prime is 74257873. The reversal of 74257820 is 2875247.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18581 + ... + 22220.

It is an arithmetic number, because the mean of its divisors is an integer number (3998596).

Almost surely, 2^74257820 is an apocalyptic number.

74257820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74257820 is an abundant number, since it is smaller than the sum of its proper divisors (117674788).

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

74257820 is a wasteful number, since it uses less digits than its factorization.

74257820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40830 (or 40828 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 74257820 is about 8617.2977202833. The cubic root of 74257820 is about 420.3206546006.

The spelling of 74257820 in words is "seventy-four million, two hundred fifty-seven thousand, eight hundred twenty".