466725888 has 220 divisors, whose sum is σ = 1480177512. Its totient is φ = 145981440.

The previous prime is 466725877. The next prime is 466725893. The reversal of 466725888 is 888527664.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409883 + ... + 1410213.

Almost surely, 2^466725888 is an apocalyptic number.

466725888 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 466725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740088756).

466725888 is an abundant number, since it is smaller than the sum of its proper divisors (1013451624).

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

466725888 is a wasteful number, since it uses less digits than its factorization.

466725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 466725888 is about 21603.8396587273. The cubic root of 466725888 is about 775.6884000659.

The spelling of 466725888 in words is "four hundred sixty-six million, seven hundred twenty-five thousand, eight hundred eighty-eight".