46276628400 has 210 divisors, whose sum is σ = 166694195100. Its totient is φ = 12340356480.

The previous prime is 46276628393. The next prime is 46276628401. The reversal of 46276628400 is 482667264.

46276628400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46276628401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 212251 + ... + 370949.

Almost surely, 2^46276628400 is an apocalyptic number.

46276628400 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 46276628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83347097550).

46276628400 is an abundant number, since it is smaller than the sum of its proper divisors (120417566700).

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

46276628400 is a wasteful number, since it uses less digits than its factorization.

46276628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158735 (or 158709 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 46276628400 in words is "forty-six billion, two hundred seventy-six million, six hundred twenty-eight thousand, four hundred".