466930464 has 384 divisors, whose sum is σ = 1698859008. Its totient is φ = 108380160.

The previous prime is 466930447. The next prime is 466930481. The reversal of 466930464 is 464039664.

It is an interprime number because it is at equal distance from previous prime (466930447) and next prime (466930481).

It is a super-3 number, since 3×466930464³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4132072 + ... + 4132184.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 2^466930464 is an apocalyptic number.

466930464 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 466930464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849429504).

466930464 is an abundant number, since it is smaller than the sum of its proper divisors (1231928544).

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

466930464 is a wasteful number, since it uses less digits than its factorization.

466930464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 466930464 is about 21608.5738539127. The cubic root of 466930464 is about 775.8017171502.

It can be divided in two parts, 466 and 930464, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 466930464 in words is "four hundred sixty-six million, nine hundred thirty thousand, four hundred sixty-four".