472426455553800 has 384 divisors, whose sum is σ = 1601246856499200. Its totient is φ = 114270621696000.

The previous prime is 472426455553799. The next prime is 472426455553813. The reversal of 472426455553800 is 8355554624274.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22367607240 + ... + 22367628360.

It is an arithmetic number, because the mean of its divisors is an integer number (4169913688800).

Almost surely, 2^{472426455553800} is an apocalyptic number.

472426455553800 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 472426455553800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800623428249600).

472426455553800 is an abundant number, since it is smaller than the sum of its proper divisors (1128820400945400).

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

472426455553800 is a wasteful number, since it uses less digits than its factorization.

472426455553800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28597 (or 28588 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 60.

The spelling of 472426455553800 in words is "four hundred seventy-two trillion, four hundred twenty-six billion, four hundred fifty-five million, five hundred fifty-three thousand, eight hundred".