463900080 has 320 divisors, whose sum is σ = 1791313920. Its totient is φ = 96878592.

The previous prime is 463900079. The next prime is 463900081. The reversal of 463900080 is 80009364.

It is an interprime number because it is at equal distance from previous prime (463900079) and next prime (463900081).

It is a super-3 number, since 3×463900080³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (463900081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056501 + ... + 1056939.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^463900080 is an apocalyptic number.

463900080 is a gapful number since it is divisible by the number (40) 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 463900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895656960).

463900080 is an abundant number, since it is smaller than the sum of its proper divisors (1327413840).

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

463900080 is a wasteful number, since it uses less digits than its factorization.

463900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 463900080 is about 21538.3397688866. The cubic root of 463900080 is about 774.1197525852.

The spelling of 463900080 in words is "four hundred sixty-three million, nine hundred thousand, eighty".