481962240 has 432 divisors, whose sum is σ = 1859614848. Its totient is φ = 114622464.

The previous prime is 481962193. The next prime is 481962277. The reversal of 481962240 is 42269184.

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 = 481962195 and 481962204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4504267 + ... + 4504373.

It is an arithmetic number, because the mean of its divisors is an integer number (4304664).

Almost surely, 2^481962240 is an apocalyptic number.

481962240 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 481962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929807424).

481962240 is an abundant number, since it is smaller than the sum of its proper divisors (1377652608).

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

481962240 is a wasteful number, since it uses less digits than its factorization.

481962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 481962240 is about 21953.6384228219. The cubic root of 481962240 is about 784.0390095819.

The spelling of 481962240 in words is "four hundred eighty-one million, nine hundred sixty-two thousand, two hundred forty".