405102451600 has 480 divisors, whose sum is σ = 1251932371200. Its totient is φ = 122302464000.

The previous prime is 405102451591. The next prime is 405102451601. The reversal of 405102451600 is 6154201504.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (405102451601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188156124 + ... + 188158276.

It is an arithmetic number, because the mean of its divisors is an integer number (2608192440).

Almost surely, 2^405102451600 is an apocalyptic number.

405102451600 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 405102451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625966185600).

405102451600 is an abundant number, since it is smaller than the sum of its proper divisors (846829919600).

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

405102451600 is a wasteful number, since it uses less digits than its factorization.

405102451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 405102451600 in words is "four hundred five billion, one hundred two million, four hundred fifty-one thousand, six hundred".