466074048 has 112 divisors (see below), whose sum is σ = 1364138496. Its totient is φ = 139253760.

The previous prime is 466074029. The next prime is 466074053. The reversal of 466074048 is 840470664.

It is a junction number, because it is equal to n+sod(n) for n = 466073997 and 466074015.

It is a congruent number.

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, 152665 + ... + 155687.

It is an arithmetic number, because the mean of its divisors is an integer number (12179808).

Almost surely, 2^466074048 is an apocalyptic number.

466074048 is a gapful number since it is divisible by the number (48) 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 466074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682069248).

466074048 is an abundant number, since it is smaller than the sum of its proper divisors (898064448).

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

466074048 is a wasteful number, since it uses less digits than its factorization.

466074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 466074048 is about 21588.7481804759. The cubic root of 466074048 is about 775.3271171291.

The spelling of 466074048 in words is "four hundred sixty-six million, seventy-four thousand, forty-eight".