455671840 has 96 divisors (see below), whose sum is σ = 1175607216. Its totient is φ = 165888000.

The previous prime is 455671831. The next prime is 455671847. The reversal of 455671840 is 48176554.

It can be written as a sum of positive squares in 8 ways, for example, as 133541136 + 322130704 = 11556^2 + 17948^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 455671793 and 455671802.

It is not an unprimeable number, because it can be changed into a prime (455671847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150340 + ... + 153340.

Almost surely, 2^455671840 is an apocalyptic number.

455671840 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 455671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587803608).

455671840 is an abundant number, since it is smaller than the sum of its proper divisors (719935376).

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

455671840 is a wasteful number, since it uses less digits than its factorization.

455671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 455671840 is about 21346.4713711658. The cubic root of 455671840 is about 769.5155439152.

The spelling of 455671840 in words is "four hundred fifty-five million, six hundred seventy-one thousand, eight hundred forty".