467763504 has 80 divisors (see below), whose sum is σ = 1346268000. Its totient is φ = 138958848.

The previous prime is 467763497. The next prime is 467763511. The reversal of 467763504 is 405367764.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (467763497) and next prime (467763511).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5172 + ... + 31020.

It is an arithmetic number, because the mean of its divisors is an integer number (16828350).

Almost surely, 2^467763504 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 467763504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673134000).

467763504 is an abundant number, since it is smaller than the sum of its proper divisors (878504496).

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

467763504 is a wasteful number, since it uses less digits than its factorization.

467763504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25902 (or 25896 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 467763504 is about 21627.8409463358. The cubic root of 467763504 is about 776.2628064405.

The spelling of 467763504 in words is "four hundred sixty-seven million, seven hundred sixty-three thousand, five hundred four".