674060400 has 240 divisors, whose sum is σ = 2584244320. Its totient is φ = 165888000.

The previous prime is 674060393. The next prime is 674060407. The reversal of 674060400 is 4060476.

It is an interprime number because it is at equal distance from previous prime (674060393) and next prime (674060407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674060407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138000 + ... + 142800.

Almost surely, 2^674060400 is an apocalyptic number.

674060400 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 674060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292122160).

674060400 is an abundant number, since it is smaller than the sum of its proper divisors (1910183920).

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

674060400 is a wasteful number, since it uses less digits than its factorization.

674060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 674060400 is about 25962.6732059701. The cubic root of 674060400 is about 876.7981091897.

The spelling of 674060400 in words is "six hundred seventy-four million, sixty thousand, four hundred".