466962240 has 112 divisors (see below), whose sum is σ = 1560697920. Its totient is φ = 117964800.

The previous prime is 466962203. The next prime is 466962247. The reversal of 466962240 is 42269664.

466962240 = T₁₉₅ + T₁₉₆ + ... + T₁₄₁₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466962247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5440 + ... + 31040.

Almost surely, 2^466962240 is an apocalyptic number.

466962240 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 466962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780348960).

466962240 is an abundant number, since it is smaller than the sum of its proper divisors (1093735680).

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

466962240 is a wasteful number, since it uses less digits than its factorization.

466962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25640 (or 25630 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 466962240 is about 21609.3091051056. The cubic root of 466962240 is about 775.8193152853.

The spelling of 466962240 in words is "four hundred sixty-six million, nine hundred sixty-two thousand, two hundred forty".