466970490250000 has 315 divisors, whose sum is σ = 1243404463769923. Its totient is φ = 169764232000000.

The previous prime is 466970490249973. The next prime is 466970490250073. The reversal of 466970490250000 is 52094079664.

The square root of 466970490250000 is 21609500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 214942927108624 + 252027563141376 = 14660932^2 + 15875376^2 .

It is a super-2 number, since 2×466970490250000² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 466970490250000.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 118852248036 + ... + 118852251964.

Almost surely, 2^{466970490250000} is an apocalyptic number.

466970490250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

466970490250000 is the 21609500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466970490250000

466970490250000 is an abundant number, since it is smaller than the sum of its proper divisors (776433973519923).

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

466970490250000 is an frugal number, since it uses more digits than its factorization.

466970490250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7918 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 466970490250000 in words is "four hundred sixty-six trillion, nine hundred seventy billion, four hundred ninety million, two hundred fifty thousand".