674400420 has 72 divisors (see below), whose sum is σ = 2054739960. Its totient is φ = 179043840.

The previous prime is 674400413. The next prime is 674400427. The reversal of 674400420 is 24004476.

It is an interprime number because it is at equal distance from previous prime (674400413) and next prime (674400427).

It can be written as a sum of positive squares in 4 ways, for example, as 167340096 + 507060324 = 12936^2 + 22518^2 .

It is not an unprimeable number, because it can be changed into a prime (674400427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33040 + ... + 49400.

It is an arithmetic number, because the mean of its divisors is an integer number (28538055).

Almost surely, 2^674400420 is an apocalyptic number.

674400420 is a gapful number since it is divisible by the number (60) 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 674400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027369980).

674400420 is an abundant number, since it is smaller than the sum of its proper divisors (1380339540).

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

674400420 is a wasteful number, since it uses less digits than its factorization.

674400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16605 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 674400420 is about 25969.2206275044. The cubic root of 674400420 is about 876.9455137735.

Adding to 674400420 its reverse (24004476), we get a palindrome (698404896).

The spelling of 674400420 in words is "six hundred seventy-four million, four hundred thousand, four hundred twenty".