462887040 has 512 divisors, whose sum is σ = 1917665280. Its totient is φ = 92160000.

The previous prime is 462887023. The next prime is 462887041. The reversal of 462887040 is 40788264.

It is a self number, because there is not a number n which added to its sum of digits gives 462887040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462887041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4582990 + ... + 4583090.

It is an arithmetic number, because the mean of its divisors is an integer number (3745440).

Almost surely, 2^462887040 is an apocalyptic number.

462887040 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 462887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958832640).

462887040 is an abundant number, since it is smaller than the sum of its proper divisors (1454778240).

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

462887040 is a wasteful number, since it uses less digits than its factorization.

462887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 462887040 is about 21514.8097830309. The cubic root of 462887040 is about 773.5558482423. Note that the first 3 decimals are identical.

The spelling of 462887040 in words is "four hundred sixty-two million, eight hundred eighty-seven thousand, forty".