6150400 has 81 divisors (see below), whose sum is σ = 15730113. Its totient is φ = 2380800.

The previous prime is 6150377. The next prime is 6150409. The reversal of 6150400 is 40516.

The square root of 6150400 is 2480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 3936256 = 1488^2 + 1984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (6150409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198385 + ... + 198415.

Almost surely, 2^6150400 is an apocalyptic number.

6150400 is the 2480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6150400

6150400 is an abundant number, since it is smaller than the sum of its proper divisors (9579713).

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

6150400 is an equidigital number, since it uses as much as digits as its factorization.

6150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The cubic root of 6150400 is about 183.2178519753.

Multiplying 6150400 by its sum of digits (16), we get a square (98406400 = 9920²).

6150400 divided by its sum of digits (16) gives a square (384400 = 620²).

Adding to 6150400 its reverse (40516), we get a palindrome (6190916).

The spelling of 6150400 in words is "six million, one hundred fifty thousand, four hundred".