5458217400 has 576 divisors, whose sum is σ = 20961158400. Its totient is φ = 1313832960.

The previous prime is 5458217333. The next prime is 5458217407. The reversal of 5458217400 is 47128545.

5458217400 is a `hidden beast` number, since 5 + 4 + 582 + 1 + 74 + 0 + 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 (5458217407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21238072 + ... + 21238328.

It is an arithmetic number, because the mean of its divisors is an integer number (36390900).

Almost surely, 2^5458217400 is an apocalyptic number.

5458217400 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 5458217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480579200).

5458217400 is an abundant number, since it is smaller than the sum of its proper divisors (15502941000).

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

5458217400 is a wasteful number, since it uses less digits than its factorization.

5458217400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5458217400 is about 73879.7495935118. The cubic root of 5458217400 is about 1760.6928874802.

The spelling of 5458217400 in words is "five billion, four hundred fifty-eight million, two hundred seventeen thousand, four hundred".