462919225440 has 384 divisors, whose sum is σ = 1810815713280. Its totient is φ = 97007155200.

The previous prime is 462919225403. The next prime is 462919225463. The reversal of 462919225440 is 44522919264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 462919225440.

It is a congruent number.

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, 1862085 + ... + 2095995.

It is an arithmetic number, because the mean of its divisors is an integer number (4715665920).

Almost surely, 2^462919225440 is an apocalyptic number.

462919225440 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 462919225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905407856640).

462919225440 is an abundant number, since it is smaller than the sum of its proper divisors (1347896487840).

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

462919225440 is a wasteful number, since it uses less digits than its factorization.

462919225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233986 (or 233978 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 462919225440 in words is "four hundred sixty-two billion, nine hundred nineteen million, two hundred twenty-five thousand, four hundred forty".