464648970240 has 2016 divisors, whose sum is σ = 2166865384320. Its totient is φ = 92876046336.

The previous prime is 464648970223. The next prime is 464648970257. The reversal of 464648970240 is 42079846464.

464648970240 is a `hidden beast` number, since 464 + 64 + 89 + 7 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (464648970223) and next prime (464648970257).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24455208951 + ... + 24455208969.

It is an arithmetic number, because the mean of its divisors is an integer number (1074834020).

Almost surely, 2^464648970240 is an apocalyptic number.

464648970240 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 464648970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083432692160).

464648970240 is an abundant number, since it is smaller than the sum of its proper divisors (1702216414080).

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

464648970240 is an frugal number, since it uses more digits than its factorization.

464648970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 464648970240 in words is "four hundred sixty-four billion, six hundred forty-eight million, nine hundred seventy thousand, two hundred forty".