463657920 has 336 divisors, whose sum is σ = 1699028352. Its totient is φ = 106219520.

The previous prime is 463657919. The next prime is 463657921. The reversal of 463657920 is 29756364.

It is an interprime number because it is at equal distance from previous prime (463657919) and next prime (463657921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463657921) 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, 5586199 + ... + 5586281.

It is an arithmetic number, because the mean of its divisors is an integer number (5056632).

Almost surely, 2^463657920 is an apocalyptic number.

463657920 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 463657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849514176).

463657920 is an abundant number, since it is smaller than the sum of its proper divisors (1235370432).

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

463657920 is a wasteful number, since it uses less digits than its factorization.

463657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 463657920 is about 21532.7174318524. The cubic root of 463657920 is about 773.9850299904.

It can be divided in two parts, 46365 and 7920, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 463657920 in words is "four hundred sixty-three million, six hundred fifty-seven thousand, nine hundred twenty".