45970904400 has 480 divisors, whose sum is σ = 161071595520. Its totient is φ = 11176704000.

The previous prime is 45970904381. The next prime is 45970904407. The reversal of 45970904400 is 440907954.

It is a super-2 number, since 2×45970904400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45970904407) 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, 46387905 + ... + 46388895.

It is an arithmetic number, because the mean of its divisors is an integer number (335565824).

Almost surely, 2^45970904400 is an apocalyptic number.

45970904400 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 45970904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80535797760).

45970904400 is an abundant number, since it is smaller than the sum of its proper divisors (115100691120).

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

45970904400 is a wasteful number, since it uses less digits than its factorization.

45970904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 45970904400 in words is "forty-five billion, nine hundred seventy million, nine hundred four thousand, four hundred".