1429628400 has 240 divisors, whose sum is σ = 5356998400. Its totient is φ = 361117440.

The previous prime is 1429628371. The next prime is 1429628401. The reversal of 1429628400 is 48269241.

1429628400 is a `hidden beast` number, since 1 + 4 + 29 + 628 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1429628401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201717 + ... + 208683.

Almost surely, 2^1429628400 is an apocalyptic number.

1429628400 is a gapful number since it is divisible by the number (10) 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 1429628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678499200).

1429628400 is an abundant number, since it is smaller than the sum of its proper divisors (3927370000).

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

1429628400 is a wasteful number, since it uses less digits than its factorization.

1429628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1429628400 is about 37810.4271332658. The cubic root of 1429628400 is about 1126.5255747286.

The spelling of 1429628400 in words is "one billion, four hundred twenty-nine million, six hundred twenty-eight thousand, four hundred".