464066460 has 288 divisors, whose sum is σ = 1678622400. Its totient is φ = 103150080.

The previous prime is 464066411. The next prime is 464066483. The reversal of 464066460 is 64660464.

464066460 = T₂₆₆ + T₂₆₇ + ... + T₁₄₀₉.

464066460 = 150² + 151² + ... + 1117².

It is a happy number.

464066460 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 6 + 646 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3114466 + ... + 3114614.

It is an arithmetic number, because the mean of its divisors is an integer number (5828550).

Almost surely, 2^464066460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464066460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839311200).

464066460 is an abundant number, since it is smaller than the sum of its proper divisors (1214555940).

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

464066460 is a wasteful number, since it uses less digits than its factorization.

464066460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 464066460 is about 21542.2018373239. The cubic root of 464066460 is about 774.2122887836.

The spelling of 464066460 in words is "four hundred sixty-four million, sixty-six thousand, four hundred sixty".