5401000 has 64 divisors (see below), whose sum is σ = 13815360. Its totient is φ = 1960000.

The previous prime is 5400979. The next prime is 5401003. The reversal of 5401000 is 1045.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5401003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755 + ... + 11245.

It is an arithmetic number, because the mean of its divisors is an integer number (215865).

Almost surely, 2^5401000 is an apocalyptic number.

5401000 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 5401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907680).

5401000 is an abundant number, since it is smaller than the sum of its proper divisors (8414360).

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

5401000 is a wasteful number, since it uses less digits than its factorization.

5401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 5401000 is about 2324.0051635055. The cubic root of 5401000 is about 175.4518933197.

Adding to 5401000 its reverse (1045), we get a palindrome (5402045).

It can be divided in two parts, 540 and 1000, that added together give a triangular number (1540 = T₅₅).

The spelling of 5401000 in words is "five million, four hundred one thousand".