462399840 has 288 divisors, whose sum is σ = 1871251200. Its totient is φ = 105629184.

The previous prime is 462399823. The next prime is 462399851. The reversal of 462399840 is 48993264.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×462399840² = 427627224064051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271311 + ... + 273009.

It is an arithmetic number, because the mean of its divisors is an integer number (6497400).

Almost surely, 2^462399840 is an apocalyptic number.

462399840 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 462399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

462399840 is an abundant number, since it is smaller than the sum of its proper divisors (1408851360).

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

462399840 is a wasteful number, since it uses less digits than its factorization.

462399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 462399840 is about 21503.4843688180. The cubic root of 462399840 is about 773.2843574480.

The spelling of 462399840 in words is "four hundred sixty-two million, three hundred ninety-nine thousand, eight hundred forty".