453213050400 has 1296 divisors, whose sum is σ = 1890540497664. Its totient is φ = 101713920000.

The previous prime is 453213050393. The next prime is 453213050419. The reversal of 453213050400 is 4050312354.

453213050400 is a `hidden beast` number, since 45 + 3 + 213 + 0 + 5 + 0 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1051538185 + ... + 1051538615.

It is an arithmetic number, because the mean of its divisors is an integer number (1458750384).

Almost surely, 2^453213050400 is an apocalyptic number.

453213050400 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 453213050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945270248832).

453213050400 is an abundant number, since it is smaller than the sum of its proper divisors (1437327447264).

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

453213050400 is a wasteful number, since it uses less digits than its factorization.

453213050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 453213050400 its reverse (4050312354), we get a palindrome (457263362754).

The spelling of 453213050400 in words is "four hundred fifty-three billion, two hundred thirteen million, fifty thousand, four hundred".