46028998400 has 864 divisors, whose sum is σ = 154166132736. Its totient is φ = 13178880000.

The previous prime is 46028998399. The next prime is 46028998409. The reversal of 46028998400 is 489982064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46028998409) 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, 351366335 + ... + 351366465.

It is an arithmetic number, because the mean of its divisors is an integer number (178433024).

Almost surely, 2^46028998400 is an apocalyptic number.

46028998400 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 46028998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77083066368).

46028998400 is an abundant number, since it is smaller than the sum of its proper divisors (108137134336).

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

46028998400 is a wasteful number, since it uses less digits than its factorization.

46028998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 46028998400 in words is "forty-six billion, twenty-eight million, nine hundred ninety-eight thousand, four hundred".