466074672 has 120 divisors (see below), whose sum is σ = 1420837632. Its totient is φ = 131241600.

The previous prime is 466074671. The next prime is 466074673. The reversal of 466074672 is 276470664.

It is an interprime number because it is at equal distance from previous prime (466074671) and next prime (466074673).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (466074671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165597 + ... + 168387.

Almost surely, 2^466074672 is an apocalyptic number.

466074672 is a gapful number since it is divisible by the number (42) 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 466074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710418816).

466074672 is an abundant number, since it is smaller than the sum of its proper divisors (954762960).

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

466074672 is a wasteful number, since it uses less digits than its factorization.

466074672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 466074672 is about 21588.7626324438. The cubic root of 466074672 is about 775.3274631427.

The spelling of 466074672 in words is "four hundred sixty-six million, seventy-four thousand, six hundred seventy-two".