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473425920 = 21132511467
BaseRepresentation
bin11100001101111…
…110100000000000
31012222211112021100
4130031332200000
51432144112140
6114551054400
714506024332
oct3415764000
91188745240
10473425920
112232669a0
12112671400
137710c5a6
1446c39452
152b869530
hex1c37e800

473425920 has 288 divisors, whose sum is σ = 1793806560. Its totient is φ = 114524160.

The previous prime is 473425919. The next prime is 473425933. The reversal of 473425920 is 29524374.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1013527 + ... + 1013993.

It is an arithmetic number, because the mean of its divisors is an integer number (6228495).

Almost surely, 2473425920 is an apocalyptic number.

473425920 is a gapful number since it is divisible by the number (40) 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 473425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896903280).

473425920 is an abundant number, since it is smaller than the sum of its proper divisors (1320380640).

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

473425920 is a wasteful number, since it uses less digits than its factorization.

473425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 473425920 is about 21758.3528788371. The cubic root of 473425920 is about 779.3825488275.

The spelling of 473425920 in words is "four hundred seventy-three million, four hundred twenty-five thousand, nine hundred twenty".