466230431520 has 768 divisors, whose sum is σ = 1906499911680. Its totient is φ = 104216813568.

The previous prime is 466230431473. The next prime is 466230431533. The reversal of 466230431520 is 25134032664.

466230431520 is a `hidden beast` number, since 4 + 6 + 62 + 30 + 43 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280354209 + ... + 280355871.

It is an arithmetic number, because the mean of its divisors is an integer number (2482421760).

Almost surely, 2^466230431520 is an apocalyptic number.

466230431520 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 466230431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953249955840).

466230431520 is an abundant number, since it is smaller than the sum of its proper divisors (1440269480160).

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

466230431520 is a wasteful number, since it uses less digits than its factorization.

466230431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 466230431520 in words is "four hundred sixty-six billion, two hundred thirty million, four hundred thirty-one thousand, five hundred twenty".