456111040 has 224 divisors, whose sum is σ = 1374672384. Its totient is φ = 140021760.

The previous prime is 456111031. The next prime is 456111059. The reversal of 456111040 is 40111654.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636394 + ... + 2636566.

Almost surely, 2^456111040 is an apocalyptic number.

456111040 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 456111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687336192).

456111040 is an abundant number, since it is smaller than the sum of its proper divisors (918561344).

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

456111040 is a wasteful number, since it uses less digits than its factorization.

456111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 456111040 is about 21356.7563080164. The cubic root of 456111040 is about 769.7626974372.

Adding to 456111040 its reverse (40111654), we get a palindrome (496222694).

The spelling of 456111040 in words is "four hundred fifty-six million, one hundred eleven thousand, forty".