462057960 has 512 divisors, whose sum is σ = 1916006400. Its totient is φ = 86261760.

The previous prime is 462057949. The next prime is 462057991. The reversal of 462057960 is 69750264.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3527095 + ... + 3527225.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^462057960 is an apocalyptic number.

462057960 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 462057960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958003200).

462057960 is an abundant number, since it is smaller than the sum of its proper divisors (1453948440).

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

462057960 is a wasteful number, since it uses less digits than its factorization.

462057960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 462057960 is about 21495.5334895415. The cubic root of 462057960 is about 773.0937319222.

The spelling of 462057960 in words is "four hundred sixty-two million, fifty-seven thousand, nine hundred sixty".