456906240 has 240 divisors, whose sum is σ = 1809089568. Its totient is φ = 104398848.

The previous prime is 456906209. The next prime is 456906259. The reversal of 456906240 is 42609654.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 456906195 and 456906204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159864 + ... + 162696.

Almost surely, 2^456906240 is an apocalyptic number.

456906240 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 456906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904544784).

456906240 is an abundant number, since it is smaller than the sum of its proper divisors (1352183328).

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

456906240 is a wasteful number, since it uses less digits than its factorization.

456906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 456906240 is about 21375.3652600371. The cubic root of 456906240 is about 770.2097814874.

The spelling of 456906240 in words is "four hundred fifty-six million, nine hundred six thousand, two hundred forty".