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1425434400 = 2532521397157
BaseRepresentation
bin101010011110110…
…0110011100100000
310200100012120101200
41110331212130200
510404402400100
6353240001200
750215664265
oct12475463440
93610176350
101425434400
11671690a65
12339460200
13199415610
14d745326c
158521ae00
hex54f66720

1425434400 has 432 divisors, whose sum is σ = 5503725864. Its totient is φ = 345047040.

The previous prime is 1425434399. The next prime is 1425434429. The reversal of 1425434400 is 44345241.

It is a happy number.

1425434400 is a `hidden beast` number, since 1 + 4 + 254 + 3 + 4 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8363664 + 1417070736 = 2892^2 + 37644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9079122 + ... + 9079278.

Almost surely, 21425434400 is an apocalyptic number.

1425434400 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 1425434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751862932).

1425434400 is an abundant number, since it is smaller than the sum of its proper divisors (4078291464).

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

1425434400 is a wasteful number, since it uses less digits than its factorization.

1425434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1425434400 is about 37754.9255064819. The cubic root of 1425434400 is about 1125.4228928645.

Adding to 1425434400 its reverse (44345241), we get a palindrome (1469779641).

The spelling of 1425434400 in words is "one billion, four hundred twenty-five million, four hundred thirty-four thousand, four hundred".