467940704 has 144 divisors (see below), whose sum is σ = 1204035840. Its totient is φ = 173902080.

The previous prime is 467940703. The next prime is 467940719. The reversal of 467940704 is 407049764.

467940704 = 375² + 376² + ... + 1133².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467940701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303277 + ... + 1303635.

It is an arithmetic number, because the mean of its divisors is an integer number (8361360).

Almost surely, 2^467940704 is an apocalyptic number.

467940704 is a gapful number since it is divisible by the number (44) 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 467940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602017920).

467940704 is an abundant number, since it is smaller than the sum of its proper divisors (736095136).

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

467940704 is a wasteful number, since it uses less digits than its factorization.

467940704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 467940704 is about 21631.9371300862. The cubic root of 467940704 is about 776.3608163695.

The spelling of 467940704 in words is "four hundred sixty-seven million, nine hundred forty thousand, seven hundred four".