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1405494000 = 243253113691
BaseRepresentation
bin101001111000110…
…0010001011110000
310121221200111022100
41103301202023300
510334301302000
6351244340400
746554334101
oct12361421360
93557614270
101405494000
11661401499
12332844700
13195253371
14d49423a8
15835cca00
hex53c622f0

1405494000 has 240 divisors, whose sum is σ = 4959530784. Its totient is φ = 370944000.

The previous prime is 1405493983. The next prime is 1405494007. The reversal of 1405494000 is 4945041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405494007) 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, 2033655 + ... + 2034345.

Almost surely, 21405494000 is an apocalyptic number.

1405494000 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 1405494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479765392).

1405494000 is an abundant number, since it is smaller than the sum of its proper divisors (3554036784).

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

1405494000 is a wasteful number, since it uses less digits than its factorization.

1405494000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1405494000 is about 37489.9186448837. The cubic root of 1405494000 is about 1120.1503837185.

The spelling of 1405494000 in words is "one billion, four hundred five million, four hundred ninety-four thousand".