463974480 has 240 divisors, whose sum is σ = 1673642880. Its totient is φ = 119314944.

The previous prime is 463974473. The next prime is 463974481. The reversal of 463974480 is 84479364.

463974480 is a `hidden beast` number, since 4 + 639 + 7 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463974481) 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, 563349 + ... + 564171.

It is an arithmetic number, because the mean of its divisors is an integer number (6973512).

Almost surely, 2^463974480 is an apocalyptic number.

463974480 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 463974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836821440).

463974480 is an abundant number, since it is smaller than the sum of its proper divisors (1209668400).

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

463974480 is a wasteful number, since it uses less digits than its factorization.

463974480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 463974480 is about 21540.0668522639. The cubic root of 463974480 is about 774.1611346510.

The spelling of 463974480 in words is "four hundred sixty-three million, nine hundred seventy-four thousand, four hundred eighty".