5477414400 has 420 divisors, whose sum is σ = 20381437692. Its totient is φ = 1458155520.

The previous prime is 5477414387. The next prime is 5477414407. The reversal of 5477414400 is 44147745.

It is a happy number.

5477414400 is a `hidden beast` number, since 547 + 74 + 1 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5477414407) 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, 9330907 + ... + 9331493.

Almost surely, 2^5477414400 is an apocalyptic number.

5477414400 is a gapful number since it is divisible by the number (50) 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 5477414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10190718846).

5477414400 is an abundant number, since it is smaller than the sum of its proper divisors (14904023292).

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

5477414400 is an frugal number, since it uses more digits than its factorization.

5477414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 5477414400 is about 74009.5561397310. The cubic root of 5477414400 is about 1762.7546395330.

The spelling of 5477414400 in words is "five billion, four hundred seventy-seven million, four hundred fourteen thousand, four hundred".