462425760 has 240 divisors, whose sum is σ = 1686085632. Its totient is φ = 119232000.

The previous prime is 462425753. The next prime is 462425767. The reversal of 462425760 is 67524264.

462425760 is a `hidden beast` number, since 4 + 624 + 25 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (462425753) and next prime (462425767).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (462425767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401185 + ... + 402335.

Almost surely, 2^462425760 is an apocalyptic number.

462425760 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 462425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843042816).

462425760 is an abundant number, since it is smaller than the sum of its proper divisors (1223659872).

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

462425760 is a wasteful number, since it uses less digits than its factorization.

462425760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 462425760 is about 21504.0870533952. The cubic root of 462425760 is about 773.2988060949.

The spelling of 462425760 in words is "four hundred sixty-two million, four hundred twenty-five thousand, seven hundred sixty".