455415840 has 144 divisors (see below), whose sum is σ = 1695447936. Its totient is φ = 110400000.

The previous prime is 455415833. The next prime is 455415841. The reversal of 455415840 is 48514554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 455415795 and 455415804.

It is not an unprimeable number, because it can be changed into a prime (455415841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465 + ... + 30215.

It is an arithmetic number, because the mean of its divisors is an integer number (11773944).

Almost surely, 2^455415840 is an apocalyptic number.

455415840 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 455415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847723968).

455415840 is an abundant number, since it is smaller than the sum of its proper divisors (1240032096).

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

455415840 is a wasteful number, since it uses less digits than its factorization.

455415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28783 (or 28772 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 455415840 is about 21340.4742215350. The cubic root of 455415840 is about 769.3714103051.

The spelling of 455415840 in words is "four hundred fifty-five million, four hundred fifteen thousand, eight hundred forty".