466115040 has 96 divisors (see below), whose sum is σ = 1631417760. Its totient is φ = 124296192.

The previous prime is 466115029. The next prime is 466115053. The reversal of 466115040 is 40511664.

466115040 is a `hidden beast` number, since 4 + 6 + 611 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 466114995 and 466115013.

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, 49629 + ... + 58268.

It is an arithmetic number, because the mean of its divisors is an integer number (16993935).

Almost surely, 2^466115040 is an apocalyptic number.

466115040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466115040 is an abundant number, since it is smaller than the sum of its proper divisors (1165302720).

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

466115040 is a wasteful number, since it uses less digits than its factorization.

466115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107921 (or 107907 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 466115040 is about 21589.6975430412. The cubic root of 466115040 is about 775.3498469060.

It can be divided in two parts, 4661 and 15040, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 466115040 in words is "four hundred sixty-six million, one hundred fifteen thousand, forty".