466738240 has 56 divisors (see below), whose sum is σ = 1115275392. Its totient is φ = 186048000.

The previous prime is 466738229. The next prime is 466738253. The reversal of 466738240 is 42837664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 466738193 and 466738202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95865 + ... + 100615.

It is an arithmetic number, because the mean of its divisors is an integer number (19915632).

Almost surely, 2^466738240 is an apocalyptic number.

466738240 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 466738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557637696).

466738240 is an abundant number, since it is smaller than the sum of its proper divisors (648537152).

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

466738240 is a wasteful number, since it uses less digits than its factorization.

466738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 466738240 is about 21604.1255319441. The cubic root of 466738240 is about 775.6952429251.

The spelling of 466738240 in words is "four hundred sixty-six million, seven hundred thirty-eight thousand, two hundred forty".