45463202400 has 1152 divisors, whose sum is σ = 194357560320. Its totient is φ = 8957952000.

The previous prime is 45463202371. The next prime is 45463202419. The reversal of 45463202400 is 420236454.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 417093546 + ... + 417093654.

It is an arithmetic number, because the mean of its divisors is an integer number (168713160).

Almost surely, 2^45463202400 is an apocalyptic number.

45463202400 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 45463202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97178780160).

45463202400 is an abundant number, since it is smaller than the sum of its proper divisors (148894357920).

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

45463202400 is a wasteful number, since it uses less digits than its factorization.

45463202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 45463202400 its reverse (420236454), we get a palindrome (45883438854).

The spelling of 45463202400 in words is "forty-five billion, four hundred sixty-three million, two hundred two thousand, four hundred".