455616211400 has 96 divisors (see below), whose sum is σ = 1274355192000. Its totient is φ = 147989617920.

The previous prime is 455616211399. The next prime is 455616211417. The reversal of 455616211400 is 4112616554.

It is a super-2 number, since 2×455616211400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8537615 + ... + 8590814.

It is an arithmetic number, because the mean of its divisors is an integer number (13274533250).

Almost surely, 2^455616211400 is an apocalyptic number.

455616211400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455616211400 is an abundant number, since it is smaller than the sum of its proper divisors (818738980600).

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

455616211400 is a wasteful number, since it uses less digits than its factorization.

455616211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128471 (or 17128462 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 455616211400 its reverse (4112616554), we get a palindrome (459728827954).

The spelling of 455616211400 in words is "four hundred fifty-five billion, six hundred sixteen million, two hundred eleven thousand, four hundred".