463288896 has 280 divisors, whose sum is σ = 1664061696. Its totient is φ = 124416000.

The previous prime is 463288873. The next prime is 463288897. The reversal of 463288896 is 698882364.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463288897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 616521 + ... + 617271.

Almost surely, 2^463288896 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 463288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832030848).

463288896 is an abundant number, since it is smaller than the sum of its proper divisors (1200772800).

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

463288896 is a wasteful number, since it uses less digits than its factorization.

463288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 780 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 463288896 is about 21524.1468123594. The cubic root of 463288896 is about 773.7796380068.

It can be divided in two parts, 4632 and 88896, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 463288896 in words is "four hundred sixty-three million, two hundred eighty-eight thousand, eight hundred ninety-six".