462475440 has 320 divisors, whose sum is σ = 1849881600. Its totient is φ = 104011776.

The previous prime is 462475411. The next prime is 462475451. The reversal of 462475440 is 44574264.

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 = 462475395 and 462475404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103551 + ... + 1103969.

It is an arithmetic number, because the mean of its divisors is an integer number (5780880).

Almost surely, 2^462475440 is an apocalyptic number.

462475440 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 462475440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924940800).

462475440 is an abundant number, since it is smaller than the sum of its proper divisors (1387406160).

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

462475440 is a wasteful number, since it uses less digits than its factorization.

462475440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 462475440 is about 21505.2421516243. The cubic root of 462475440 is about 773.3264978257.

The spelling of 462475440 in words is "four hundred sixty-two million, four hundred seventy-five thousand, four hundred forty".