647142400 has 132 divisors (see below), whose sum is σ = 1699632288. Its totient is φ = 243466240.

The previous prime is 647142373. The next prime is 647142409. The reversal of 647142400 is 4241746.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647142409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434457 + ... + 435943.

Almost surely, 2^647142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849816144).

647142400 is an abundant number, since it is smaller than the sum of its proper divisors (1052489888).

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

647142400 is a wasteful number, since it uses less digits than its factorization.

647142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 647142400 is about 25438.9936907889. The cubic root of 647142400 is about 864.9678226528.

The spelling of 647142400 in words is "six hundred forty-seven million, one hundred forty-two thousand, four hundred".