464970240 has 480 divisors, whose sum is σ = 1950410880. Its totient is φ = 102850560.

The previous prime is 464970203. The next prime is 464970269. The reversal of 464970240 is 42079464.

464970240 is a `hidden beast` number, since 4 + 649 + 7 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 464970195 and 464970204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14999025 + ... + 14999055.

It is an arithmetic number, because the mean of its divisors is an integer number (4063356).

Almost surely, 2^464970240 is an apocalyptic number.

464970240 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 464970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975205440).

464970240 is an abundant number, since it is smaller than the sum of its proper divisors (1485440640).

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

464970240 is an equidigital number, since it uses as much as digits as its factorization.

464970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 464970240 is about 21563.1685983299. The cubic root of 464970240 is about 774.7145615504.

The spelling of 464970240 in words is "four hundred sixty-four million, nine hundred seventy thousand, two hundred forty".