466255440 has 400 divisors, whose sum is σ = 1951720320. Its totient is φ = 100776960.

The previous prime is 466255423. The next prime is 466255451. The reversal of 466255440 is 44552664.

466255440 is a `hidden beast` number, since 4 + 6 + 62 + 554 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 466255395 and 466255404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861570 + ... + 862110.

Almost surely, 2^466255440 is an apocalyptic number.

466255440 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 466255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975860160).

466255440 is an abundant number, since it is smaller than the sum of its proper divisors (1485464880).

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

466255440 is a wasteful number, since it uses less digits than its factorization.

466255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 466255440 is about 21592.9488491035. The cubic root of 466255440 is about 775.4276876256.

The spelling of 466255440 in words is "four hundred sixty-six million, two hundred fifty-five thousand, four hundred forty".