45467030400 has 1536 divisors, whose sum is σ = 192330547200. Its totient is φ = 9289728000.

The previous prime is 45467030363. The next prime is 45467030459. The reversal of 45467030400 is 403076454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1057372779 + ... + 1057372821.

It is an arithmetic number, because the mean of its divisors is an integer number (125215200).

Almost surely, 2^45467030400 is an apocalyptic number.

45467030400 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 45467030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96165273600).

45467030400 is an abundant number, since it is smaller than the sum of its proper divisors (146863516800).

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

45467030400 is a wasteful number, since it uses less digits than its factorization.

45467030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 45467030400 in words is "forty-five billion, four hundred sixty-seven million, thirty thousand, four hundred".