647462400 has 240 divisors, whose sum is σ = 2305154544. Its totient is φ = 159252480.

The previous prime is 647462393. The next prime is 647462461. The reversal of 647462400 is 4264746.

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 (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498552 + ... + 499848.

Almost surely, 2^647462400 is an apocalyptic number.

647462400 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 647462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152577272).

647462400 is an abundant number, since it is smaller than the sum of its proper divisors (1657692144).

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

647462400 is a wasteful number, since it uses less digits than its factorization.

647462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 647462400 is about 25445.2824704305. The cubic root of 647462400 is about 865.1103693799.

The spelling of 647462400 in words is "six hundred forty-seven million, four hundred sixty-two thousand, four hundred".