455279040 has 252 divisors, whose sum is σ = 1666545816. Its totient is φ = 114057216.

The previous prime is 455279029. The next prime is 455279059. The reversal of 455279040 is 40972554.

455279040 is a `hidden beast` number, since 4 + 5 + 527 + 90 + 40 = 666.

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 = 455278986 and 455279004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832047 + ... + 832593.

Almost surely, 2^455279040 is an apocalyptic number.

455279040 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 455279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833272908).

455279040 is an abundant number, since it is smaller than the sum of its proper divisors (1211266776).

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

455279040 is a wasteful number, since it uses less digits than its factorization.

455279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 455279040 is about 21337.2688036684. The cubic root of 455279040 is about 769.2943667623.

The spelling of 455279040 in words is "four hundred fifty-five million, two hundred seventy-nine thousand, forty".