5402000 has 80 divisors (see below), whose sum is σ = 13598832. Its totient is φ = 2073600.

The previous prime is 5401999. The next prime is 5402003. The reversal of 5402000 is 2045.

It can be written as a sum of positive squares in 8 ways, for example, as 614656 + 4787344 = 784^2 + 2188^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5402003) 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, 73964 + ... + 74036.

Almost surely, 2^5402000 is an apocalyptic number.

5402000 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 5402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799416).

5402000 is an abundant number, since it is smaller than the sum of its proper divisors (8196832).

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

5402000 is a wasteful number, since it uses less digits than its factorization.

5402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 5402000 is about 2324.2202993692. The cubic root of 5402000 is about 175.4627210100.

Adding to 5402000 its reverse (2045), we get a palindrome (5404045).

The spelling of 5402000 in words is "five million, four hundred two thousand".