6429400 has 96 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 2304000.

The previous prime is 6429389. The next prime is 6429413. The reversal of 6429400 is 49246.

6429400 = T₃₇₆ + T₃₇₇ + ... + T₄₅₀.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105370 + ... + 105430.

It is an arithmetic number, because the mean of its divisors is an integer number (172980).

Almost surely, 2^6429400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

6429400 is an abundant number, since it is smaller than the sum of its proper divisors (10176680).

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

6429400 is a wasteful number, since it uses less digits than its factorization.

6429400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6429400 is about 2535.6261554101. The cubic root of 6429400 is about 185.9474164379.

The spelling of 6429400 in words is "six million, four hundred twenty-nine thousand, four hundred".