477498240 has 320 divisors, whose sum is σ = 1744665120. Its totient is φ = 124416000.

The previous prime is 477498233. The next prime is 477498247. The reversal of 477498240 is 42894774.

It is an interprime number because it is at equal distance from previous prime (477498233) and next prime (477498247).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477498247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3162165 + ... + 3162315.

Almost surely, 2^477498240 is an apocalyptic number.

477498240 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 477498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872332560).

477498240 is an abundant number, since it is smaller than the sum of its proper divisors (1267166880).

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

477498240 is a wasteful number, since it uses less digits than its factorization.

477498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 477498240 is about 21851.7331120440. The cubic root of 477498240 is about 781.6108720870.

The spelling of 477498240 in words is "four hundred seventy-seven million, four hundred ninety-eight thousand, two hundred forty".